Topology at Infinity of Discrete Groups (Contemporary Mathematics)

Topology at Infinity of Discrete Groups (Contemporary Mathematics)

Topology at Infinity of Discrete Groups (Contemporary Mathematics)

by: Ross Geoghegan (Editor), Craig R. Guilbault (Editor), Kim Ruane (Editor)

Publisher: American Mathematical Society

Publication Date: 2025-02-07

Language: English

Print Length: 341 pages

ISBN-10: 1470475340

ISBN-13: 9781470475345

Book Description

This volume contains the proceedings of the AMS Special Session on Ends and Boundaries of Groups, held in honor of Michael Mihalik’s 70th birthday, on April 15–16, 2023, at the University of Cincinnati, Cincinnati, Ohio. The papers cover current topics in geometric group theory and related topology. Four survey papers discuss hyperbolic actions, CAT(0) groups, Thompson-type groups and $Z$-set boundaries. Other papers cover new material related to hyperbolic groups, Poincaré Duality groups, outer automorphism groups, right angled Artin groups, and mapping class groups. Several papers present new results on ends of spaces and related group theory. A notable addition, intended for readers interested in the interplay of topology and group theory, is a self-contained detailed exposition of $Z$-sets and their role in geometric group theory.

Editorial Reviews

This volume contains the proceedings of the AMS Special Session on Ends and Boundaries of Groups, held in honor of Michael Mihalik’s 70th birthday, on April 15–16, 2023, at the University of Cincinnati, Cincinnati, Ohio. The papers cover current topics in geometric group theory and related topology. Four survey papers discuss hyperbolic actions, CAT(0) groups, Thompson-type groups and $Z$-set boundaries. Other papers cover new material related to hyperbolic groups, Poincaré Duality groups, outer automorphism groups, right angled Artin groups, and mapping class groups. Several papers present new results on ends of spaces and related group theory. A notable addition, intended for readers interested in the interplay of topology and group theory, is a self-contained detailed exposition of $Z$-sets and their role in geometric group theory.

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