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9781470475345 Academic Inspection Copy

Topology at Infinity of Discrete Groups

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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.
Ross Geoghegan, Binghamton University, NY, Craig R. Guilbault, University of Wisconsin, Milwaukee, WI. Kim Ruane, Tufts University, Medford, MA.
Articles Yael Algom-Kfir and Mladen Bestvina, Groups of proper homotopy equivalences of graphs and Nielsen Realization Fredric D. Ancel, Z-sets in ANRs Liam Axon and Jack Calcut, The End Sum of Surfaces Sahana H. Balasubramanya, A survey on classifying hyperbolic actions of groups Martin R. Bridson, Dawid Kielak and Monika Kudlinska, Stallings's Fibring Theorem and $\mathrm {PD}^3$-pairs Noah Caplinger and Dan Margalit, Totally Symmetric Sets M. Cardenas, F. F. Lasheras and A. Quintero, Proper $2$-equivalences and amalgams over virtually free groups Alexander Dranishnikov and Satyanath Howladar, On Gromov's conjecture for right-angled Artin groups Jerzy Dydak, Yuankui Ma and Hussain Rashed, Ends of large scale groups Daniel S. Farley, The expansion set construction of classifying spaces for generalized Thompson groups Talia 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 $\mathcal {Z}$-compactification G. Christopher Hruska and Kim Ruane, Hyperbolic groups and local connectivity Nir Lazarovich and Emily Stark, Failure of quasi-isometric rigidity for infinite-ended groups Rylee Alanza Lyman, One-endedness of outer automorphism groups of free products of finite and cyclic groups Molly A. Moran, A brief survey of $\mathcal {Z}$-boundaries
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