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Topological Methods in Group Theory (Graduate Texts in Mathematics Book 243) by Ross Geoghegan is a nonfiction available to read on EtoBox.

What is Topological Methods in Group Theory (Graduate Texts in Mathematics Book 243) about?

Topological Methods in Group Theory is about the interplay between algebraic topology and the theory of infinite discrete groups. The author has kept three kinds of readers in mind: graduate students who have had an introductory course in algebraic topology and who need a bridge from common knowledge to the current research literature in geometric, combinatorial and homological group theory; group theorists who would like to know more about the topological side of their subject but who have been too long away from topology; and manifold topologists, both high- and low-dimensional, since the book contains much basic material on proper homotopy and locally finite homology not easily found elsewhere. The book focuses on two main themes: 1. Topological Finiteness Properties of groups (generalizing the classical notions of'finitely generated'and'finitely presented'); 2. Asymptotic Aspects of Infinite Groups (generalizing the classical notion of'the number of ends of a group'). Illustrative examples treated in some detail include: Bass-Serre theory, Coxeter groups, Thompson groups, Whitehead's contractible 3-manifold, Davis's exotic contractible manifolds in dimensions greater than three

Who reads Topological Methods in Group Theory (Graduate Texts in Mathematics Book 243)?

Author

Ross Geoghegan

Publisher

Springer US

Published

2007

Language

EN

ISBN

9780387746142

Category

nonfiction

Subjects

Mathematics, Stem