Topological methods in group theory /
This volume collects the proceedings of the conference "Topological Methods in Group Theory", held at Ohio State University in 2014 in honor of Ross Geoghegan's 70th birthday. It consists of eleven peer-reviewed papers on some of the most recent developments at the interface of topolo...
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Group Author: | ; ; ; |
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Published: |
Cambridge University Press,
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Publisher Address: | Cambridge, United Kingdom : |
Publication Dates: | 2018. |
Literature type: | Book |
Language: | English |
Series: |
London Mathematical Society lecture note series ;
451 |
Subjects: | |
Summary: |
This volume collects the proceedings of the conference "Topological Methods in Group Theory", held at Ohio State University in 2014 in honor of Ross Geoghegan's 70th birthday. It consists of eleven peer-reviewed papers on some of the most recent developments at the interface of topology and geometric group theory. The authors have given particular attention to clear exposition, making this volume especially useful for graduate students and for mathematicians in other areas interested in gaining a taste of this rich and active field. A wide cross-section of topics in geometric group theory and topology are represented, including left-orderable groups, groups defined by automata, connectivity properties and Ʃ-invariants of groups, amenability and non-amenability problems, and boundaries of certain groups. Also included are topics that are more geometric or topological nature, such as the geometry of simpliced, decomposition complexity of certain groups, and problems in shape theory--back cover. |
Carrier Form: | xv, 193 pages : illustrations ; 23 cm. |
Bibliography: | Includes bibliographical references. |
ISBN: |
9781108437622 1108437621 |
Index Number: | QA174 |
CLC: |
O189.3 O189.2 O152 |
Call Number: | O152/T675 |
Contents: | Left relatively convex subgroups / Antolin, Dicks and Šunić -- Groups with context-free co-word problem and embeddings into Thompson's group V / Berns-Zieve, Fry, Gillings, Hoganson, and Mathews -- Limit sets for modules over groups acting on a CAT(0) space / Bieri and Geoghegan -- Ideal structure of the C*-algebra of R. Thompson's group T / Bleak and Juschenko -- Local similarity groups with context-free co-word problem / Farley -- Compacta with shapes of finite complexes: a direct approach to the Edwards-Geoghegan-wall obstruction / Guilbault -- The horofunction boundary of the lamplighter group L₂ with the Diestel-leader metric / Jones and Kelsey -- Intrinsic Geometry of a Euclidean simplex / Minemyer -- Hyperbolic dimension and decomposition complexity / Nicas and Rosenthal -- Some remarks on the covering groups of a topological group / Qi -- The invariants of Thompson's group F via Morse Theory / Witzel and Zaremsky. |