Topics in Infinite Group Theory: Nielsen Methods, Covering Spaces, and Hyperbolic Groups

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Benjamin Fine Anja Moldenhauer

Topics in Infinite Group Theory

Nielsen Methods, Covering Spaces, and Hyperbolic Groups

Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger , Leonard Wienke

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English

De Gruyter
23 August 2021

Groups & group theory

Series: De Gruyter STEM

This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives.

The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems.

By: Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 634g
ISBN: 9783110673340
ISBN 10: 3110673347
Series: De Gruyter STEM
Pages: 392
Publication Date: 23 August 2021
Audience: Professional and scholarly , Undergraduate , ELT Advanced
Format: Paperback
Publisher's Status: Active

B. Fine, Fairfield University, USA; A. Moldenhauer, StatSoft Europe GmbH; G. Rosenberger, Uni. Hamburg; L. Wienke, Uni. Bremen, Germany.