Fine / Rosenberger / Moldenhauer Topics in Infinite Group Theory

Nielsen Methods, Covering Spaces, and Hyperbolic Groups
1. Auflage 2021
ISBN: 978-3-11-067340-1
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 392 Seiten

Reihe: 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.

Autoren/Hrsg.

Fine, Benjamin

Rosenberger, Gerhard

Moldenhauer, Anja

Wienke, Leonard

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Über Autor(innen)

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