Topology at Infinity of Discrete Groups

Häftad, Engelska, 2025

Av Ross Geoghegan, Craig R. Guilbault, Kim Ruane

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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.

Produktinformation

Utgivningsdatum2025-03-31
Mått178 x 254 x undefined mm
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor341
FörlagAmerican Mathematical Society
ISBN9781470475345

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Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

ArticlesYael Algom-Kfir and Mladen Bestvina, Groups of proper homotopy equivalences of graphs and Nielsen RealizationFredric D. Ancel, Z-sets in ANRsLiam Axon and Jack Calcut, The End Sum of SurfacesSahana H. Balasubramanya, A survey on classifying hyperbolic actions of groupsMartin R. Bridson, Dawid Kielak and Monika Kudlinska, Stallings's Fibring Theorem and $\mathrm {PD}^3$-pairsNoah Caplinger and Dan Margalit, Totally Symmetric SetsM. Cardenas, F. F. Lasheras and A. Quintero, Proper $2$-equivalences and amalgams over virtually free groupsAlexander Dranishnikov and Satyanath Howladar, On Gromov's conjecture for right-angled Artin groupsJerzy Dydak, Yuankui Ma and Hussain Rashed, Ends of large scale groupsDaniel S. Farley, The expansion set construction of classifying spaces for generalized Thompson groupsTalia Fernos, Le Conte de la Mesure sur les Complexes Cubiques CAT(0)Craig R. Guilbault and Daniel Gulbrandsen, A generalized theory of expansions and collapses with applications to $\mathcal {Z}$-compactificationG. Christopher Hruska and Kim Ruane, Hyperbolic groups and local connectivityNir Lazarovich and Emily Stark, Failure of quasi-isometric rigidity for infinite-ended groupsRylee Alanza Lyman, One-endedness of outer automorphism groups of free products of finite and cyclic groupsMolly A. Moran, A brief survey of $\mathcal {Z}$-boundaries