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Infinite Group Actions on Polyhedra

AvMichael W. Davis

Inbunden, Engelska, 2024

Del i serien Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

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Beskrivning

In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory.

Produktinformation

Utgivningsdatum:2024-05-16
Mått:155 x 235 x 22 mm
Vikt:598 g
Format:Inbunden
Språk:Engelska
Serie:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Antal sidor:271
Förlag:Springer International Publishing AG
ISBN:9783031484421

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Mer om författaren

Michael Davis received a PhD in mathematics from Princeton University in 1975. He was Professor of Mathematics at Ohio State University for thirty nine years, retiring in 2022 as Professor Emeritus. In 2015 he became a Fellow of the AMS. His research is in geometric group theory and topology. Since 1981 his work has focused on topics related to reflection groups including the construction of new examples of aspherical manifolds and the study of their properties.

Recensioner i media

“The author made the right choice not to include proofs of the theorems stated (otherwise the size of the book would have increased by almost an order of magnitude) but only to indicate the sources where such proofs can be found. This implies a certain degree of maturity and knowledge in the reader. For this reason, the text is dedicated to advanced graduate students or to researchers.” (Egle Bettio, zbMATH 1542.20002, 2024)

Innehållsförteckning

Part I: Introduction.- 1 Introduction.- Part II: Nonpositively curved cube complexes.- 2 Polyhedral preliminaries.- 3 Right-angled spaces and groups.- Part III: Coxeter groups, Artin groups, buildings.- 4 Coxeter groups, Artin groups, buildings.- Part IV: More on NPC cube complexes.- 5 General theory of cube complexes.- 6 Hyperbolization.- 7 Morse theory and Bestvina–Brady groups.- Appendix A: Complexes of groups.