Topics in Infinite Group Theory

Name: Topics in Infinite Group Theory
SKU: 34781539
Price: 149.99 AUD
Availability: InStock

Nielsen Methods, Covering Spaces, and Hyperbolic Groups

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Format:

Paperback / softback

Series:

De Gruyter STEM

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Description

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.

Author Biography:

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

Release date Australia

August 23rd, 2021

Author

Series

De Gruyter STEM

Pages

392

Audience

Professional & Vocational

Illustrations

112 Illustrations, black and white

ISBN-13

9783110673340

Product ID

34781539

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