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Topology at Infinity of Discrete Groups -

Topology at Infinity of Discrete Groups

Buch | Softcover
341 Seiten
2025
American Mathematical Society (Verlag)
978-1-4704-7534-5 (ISBN)
CHF 219,95 inkl. MwSt
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Proceedings from an AMS Special Session in Cincinnati reveal dynamic work in geometric group theory and topology. Contributions range from surveys on hyperbolic actions, CAT(0) and Thompson-type groups to new findings on Poincaré duality, right-angled Artin, mapping class groups, and $Z$-set boundaries.
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

Erscheinungsdatum
Reihe/Serie Contemporary Mathematics
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-7534-0 / 1470475340
ISBN-13 978-1-4704-7534-5 / 9781470475345
Zustand Neuware
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