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Topics in Infinite Group Theory
Nielsen Methods, Covering Spaces, and Hyperbolic Groups
Taschenbuch von Benjamin Fine (u. a.)
Sprache: Englisch

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Beschreibung
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.

New edition now includes the topics on universal free groups, quasiconvex subgroups and hyperbolic groups, and also Stallings foldings and subgroups of free groups. New results on groups of F-types are added.

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.

New edition now includes the topics on universal free groups, quasiconvex subgroups and hyperbolic groups, and also Stallings foldings and subgroups of free groups. New results on groups of F-types are added.

Details
Erscheinungsjahr: 2024
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: X
414 S.
114 s/w Illustr.
2 s/w Tab.
114 b/w ill.
2 b/w and 0 col. tbl.
ISBN-13: 9783111339566
ISBN-10: 3111339564
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Fine, Benjamin
Moldenhauer, Anja
Rosenberger, Gerhard
Schürenberg, Annika
Wienke, Leonard
Auflage: 2. Aufl.
Hersteller: De Gruyter
Abbildungen: 114 b/w ill., 2 b/w and 0 col. tbl.
Maße: 29 x 171 x 240 mm
Von/Mit: Benjamin Fine (u. a.)
Erscheinungsdatum: 18.11.2024
Gewicht: 0,71 kg
Artikel-ID: 129622392
Details
Erscheinungsjahr: 2024
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: X
414 S.
114 s/w Illustr.
2 s/w Tab.
114 b/w ill.
2 b/w and 0 col. tbl.
ISBN-13: 9783111339566
ISBN-10: 3111339564
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Fine, Benjamin
Moldenhauer, Anja
Rosenberger, Gerhard
Schürenberg, Annika
Wienke, Leonard
Auflage: 2. Aufl.
Hersteller: De Gruyter
Abbildungen: 114 b/w ill., 2 b/w and 0 col. tbl.
Maße: 29 x 171 x 240 mm
Von/Mit: Benjamin Fine (u. a.)
Erscheinungsdatum: 18.11.2024
Gewicht: 0,71 kg
Artikel-ID: 129622392
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