Topology at Infinity of Discrete Groups

Ross Geoghegan, Craig R. Guilbault, Kim Ruane

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English

American Mathematical Society
16 March 2025

Algebra; Geometry; Algebraic geometry; Topology

Series: Contemporary Mathematics

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, from 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, Poincare 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.

Edited by: Ross Geoghegan, Craig R. Guilbault, Kim Ruane
Imprint: American Mathematical Society
Country of Publication: United States
Volume: 812
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9781470475345
ISBN 10: 1470475340
Series: Contemporary Mathematics
Pages: 341
Publication Date: 16 March 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Forthcoming

Ross Geoghegan, Binghamton University, NY, Craig R. Guilbault, University of Wisconsin, Milwaukee, WI. Kim Ruane, Tufts University, Medford, MA.