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Topological methods in group theory / edited by N. Broaddus, Ohio State University ; M. Davis, Ohio State University ; J.-F. Lafont, Ohio State University ; I.J. Ortiz, Miami University.

Contributor(s): Broaddus, N., (Nathan), 1975- [editor.] | Davis, Michael, 1949 April 26- [editor.] | Lafont, Jean-François [editor.] | Ortiz, Ivonne Johanna [editor.].
Material type: TextTextSeries: London Mathematical Society lecture note series: 451.Publisher: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018Copyright date: ©2018Description: xv, 193 pages : PDS 50.00 illustrations ; 23 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781108437622; 1108437621.Subject(s): Group theory | Algebraic topology | Topological manifolds | Algebraic topology | Group theory | Topological manifolds
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.
In: London Mathematical Society lecture note series no.451Summary: 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 sigma-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.
List(s) this item appears in: 2019-04-30

Includes bibliographical references.

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.

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 sigma-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.