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Topics in infinite group theory : Nielsen methods, covering spaces, and hyperbolic groups / Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: De Gruyter STEMPublisher: Berlin ; Boston : De Gruyter, [2025]Copyright date: © 2025Edition: 2nd editionDescription: 1 Online-Ressource (IX, 414 Seiten)ISBN:
  • 9783111340043
  • 9783111340180
Subject(s): Additional physical formats: 9783111339566 | Erscheint auch als: Topics in infinite group theory. Druck-Ausgabe 2nd edition. Berlin : De Gruyter, 2025. IX, 414 SeitenDDC classification:
  • 512.2
RVK: RVK: SK 260DOI: DOI: 10.1515/9783111340043Online resources: Summary: 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 addedPPN: PPN: 1891419544Package identifier: Produktsigel: ZDB-23-DGG | EBA-CL-MTPY | EBA-DGALL | EBA-EBKALL | EBA-ECL-MTPY | EBA-EEBKALL | EBA-ESTMALL | EBA-STMALL | GBV-deGruyter-alles | BSZ-23-EBA-C1UB
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