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The Geometry and Topology of Coxeter Groups (Lms-32)

The Geometry and Topology of Coxeter Groups. (LMS-32) (London Mathematical Society Monographs)

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5.00
27,321 ratings · 2,457 reviews
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OFFICIAL VERIFIED

The Geometry and Topology of Coxeter Groups (Lms-32)

The Geometry and Topology of Coxeter Groups. (LMS-32) (London Mathematical Society Monographs)

5.00 27,321 ratings · 2,457 reviews
Discover The Geometry and Topology of Coxeter Groups (Lms-32) by Michael W. Davis. Start reading today and explore ideas, insights, and experiences that stay with you.

Overview: The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are "CAT(0) groups." The book describes the reflection group trick, one of the most potent sources of examples of aspherical manifolds. And the book discusses many important topics in geometric group theory and topology, including Hopf's theory of ends; contractible manifolds and homology spheres; the Poincare Conjecture; and Gromov's theory of CAT(0) spaces and groups. Finally, the book examines connections between Coxeter groups and some of topology's most famous open problems concerning aspherical manifolds, such as the Euler Characteristic Conjecture and the Borel and Singer conjectures."

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Details & Genres

York University Ms Library Geometry Technical Scientific Nonfiction Mathematics Math
Length N/A pages
Published October 29, 2007
ISBN-13 2752919

More Books By: Michael W. Davis


Michael W.  Davis
About the Author Michael W. Davis
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Michael W. Davis writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. Michael W. Davis lives with their spouse and a very vocal rescue cat.

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Jennifer Perez
Jennifer Perez December 04, 2025
A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Anthony Hall
Anthony Hall January 14, 2024
Took me a few chapters to get into it, but it was worth it. I liked the main character, though some of the side plots were just okay. Still a good book.
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Daniel Lewis
Daniel Lewis October 01, 2024
It was okay. Some parts were interesting, while others were a bit of a slog to get through. A generous 3 stars.
Thomas Ramirez
Thomas Ramirez August 02, 2025
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Laura Hernandez
Laura Hernandez January 12, 2025
I liked it for the most part. I liked the main character, though some of the side plots were just okay. A solid 4 stars from me.
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Laura Walker December 02, 2025
A very satisfying read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
Emily Torres
Emily Torres November 10, 2024
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I was pleasantly surprised. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
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I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Definitely recommend it if you like this genre.
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Nicholas Edwards July 25, 2025
I was pleasantly surprised. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
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Charles Nguyen July 06, 2025
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
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James Campbell April 01, 2024
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Laura Hernandez November 05, 2025
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Gary Allen August 15, 2024
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Paul Gomez August 26, 2025
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Kevin Gonzalez November 27, 2025
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Joshua Perez July 24, 2024
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Deborah Martin August 25, 2024
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Stephanie Scott April 02, 2025
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Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. A solid 5/5 for me.
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Jacob Martin July 21, 2024
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Such a great read. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
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Sarah Moore June 06, 2025
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Gary Scott August 28, 2025
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Worth the time and money.
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Kimberly Baker January 03, 2024
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Honestly one of the better books I've read lately. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
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Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
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Glad someone recommended this to me. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
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Emily Williams May 05, 2024
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I have mixed feelings about this one. Some parts were interesting, while others were a bit of a slog to get through. It's fine if you have nothing else to read.
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I was pleasantly surprised. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
Sandra Allen
Sandra Allen November 19, 2025
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Glad I picked this up.
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Andrew White November 17, 2024
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Andrew Rodriguez September 08, 2025
Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Definitely recommend it if you like this genre.
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Stephanie Jackson June 09, 2024
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Jennifer Perez July 12, 2024
Finished it in a couple of days. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Will be looking for more from this author.
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Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Definitely recommend it if you like this genre.
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A solid read. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
Karen Ramirez
Karen Ramirez May 23, 2024
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
Christopher  Davis
Christopher Davis May 29, 2025
It was okay. Some parts were interesting, while others were a bit of a slog to get through. Might work better for someone else, just wasn't completely for me.
Sandra Allen
Sandra Allen February 23, 2024
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
Andrew Cruz
Andrew Cruz January 29, 2024
It was okay. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. It's fine if you have nothing else to read.
Michael Wright
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I was pleasantly surprised. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
Jennifer Turner
Jennifer Turner October 25, 2025
Finished it in a couple of days. I got really invested in the main character's journey. Everything just clicked for me. Definitely recommend it if you like this genre.
Susan Johnson
Susan Johnson February 17, 2024
A solid read. The middle dragged a tiny bit, but the ending totally made up for it. I'd probably recommend it to a friend.
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Paul Taylor October 27, 2025
I have mixed feelings about this one. Some parts were interesting, while others were a bit of a slog to get through. It's fine if you have nothing else to read.
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Barbara Parker October 07, 2024
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Stephanie Phillips
Stephanie Phillips April 01, 2025
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Cynthia Davis January 20, 2024
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
Mary Martinez
Mary Martinez June 26, 2024
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
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A very satisfying read. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
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I liked it for the most part. I liked the main character, though some of the side plots were just okay. A solid 4 stars from me.
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Mark Jones January 10, 2024
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. A solid 4 stars from me.
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Such a great read. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
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It was just alright. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Just right down the middle.
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Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
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Glad someone recommended this to me. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
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Anthony Reyes June 29, 2025
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Sarah Roberts September 08, 2025
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James Anderson
James Anderson July 04, 2024
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Daniel Young February 04, 2025
I was pleasantly surprised. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
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George Williams March 11, 2025
Honestly one of the better books I've read lately. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Paul Reyes
Paul Reyes November 10, 2024
Honestly one of the better books I've read lately. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
Andrew Rodriguez
Andrew Rodriguez November 21, 2024
Glad someone recommended this to me. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
Kimberly Young
Kimberly Young April 18, 2025
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Karen King
Karen King December 02, 2024
A very satisfying read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Definitely recommend it if you like this genre.
Donna Lee
Donna Lee June 28, 2025
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
Kenneth Walker
Kenneth Walker July 02, 2024
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. A solid 4 stars from me.
Rebecca Mitchell
Rebecca Mitchell May 01, 2024
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
Brian Campbell
Brian Campbell June 27, 2024
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Still a good book.
Sarah Martin
Sarah Martin October 29, 2025
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. Enjoyable weekend read.
Edward Wright
Edward Wright June 20, 2024
I liked it for the most part. The middle dragged a tiny bit, but the ending totally made up for it. A solid 4 stars from me.
Linda Torres
Linda Torres May 07, 2024
Took me a few chapters to get into it, but it was worth it. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
George Williams
George Williams August 16, 2024
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Sarah Roberts
Sarah Roberts November 14, 2024
Pretty good overall. It held my attention, even if a few things were a little predictable. A solid 4 stars from me.
Elizabeth Harris
Elizabeth Harris October 30, 2025
Really enjoyed this one. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Barbara Martinez
Barbara Martinez March 05, 2024
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
Sarah Miller
Sarah Miller February 12, 2025
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
Betty Scott
Betty Scott July 27, 2024
I liked it for the most part. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
Sarah Roberts
Sarah Roberts October 06, 2025
Good, but not quite perfect. I liked the main character, though some of the side plots were just okay. A solid 4 stars from me.
Daniel Turner
Daniel Turner January 26, 2024
An average read for me. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. Just right down the middle.
Sharon Phillips
Sharon Phillips November 18, 2025
Took me a few chapters to get into it, but it was worth it. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
Kenneth Gomez
Kenneth Gomez November 16, 2025
A solid read. Interesting premise and executed fairly well. Just a few slow chapters here and there. Still a good book.
Cynthia  Davis
Cynthia Davis February 15, 2024
It was okay. It felt a bit repetitive in the middle. Could have been shorter. It's fine if you have nothing else to read.
Andrew Allen
Andrew Allen November 17, 2024
A very satisfying read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Kimberly Flores
Kimberly Flores May 14, 2025
Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
Stephanie Gomez
Stephanie Gomez January 18, 2025
Such a great read. I got really invested in the main character's journey. Everything just clicked for me. Will be looking for more from this author.
David Thomas
David Thomas April 28, 2024
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Sarah  Parker
Sarah Parker December 12, 2024
Pretty good overall. It held my attention, even if a few things were a little predictable. A solid 4 stars from me.
Kenneth Robinson
Kenneth Robinson December 11, 2024
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Definitely recommend it if you like this genre.
Kevin Lee
Kevin Lee September 16, 2024
Glad someone recommended this to me. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
Karen Nguyen
Karen Nguyen March 21, 2025
It was okay. Some parts were interesting, while others were a bit of a slog to get through. Probably won't read it again, but it was an okay way to pass the time.
Steven Mitchell
Steven Mitchell October 30, 2024
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
Joshua Perez
Joshua Perez December 19, 2025
Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Rebecca Williams
Rebecca Williams May 25, 2025
A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
Carol Garcia
Carol Garcia November 22, 2024
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
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