Topological methods in group theory. Proceedings of the conference, Ohio State University, Columbus, OH, USA, June 16–20, 2014 in honor of Ross Geoghegan’s 70th birthday. (English) Zbl 1398.20002

London Mathematical Society Lecture Note Series 451. Cambridge: Cambridge University Press (ISBN 978-1-108-43762-2/pbk; 978-1-108-52620-3/ebook). xv, 193 p. (2018).

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Publisher’s description: 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 in nature, such as the geometry of simplices, decomposition complexity of certain groups, and problems in shape theory.
The articles of this volume will be reviewed individually.
Indexed articles:
Antolín, Yago; Dicks, Warren; Šunić, Zoran, Left relatively convex subgroups, 1-18 [Zbl 1430.20031]
Berns-Zieve, Rose; Fry, Dana; Gillings, Johnny; Hoganson, Hannah; Mathews, Heather, Groups with context-free co-word problem and embeddings into Thompson’s group \(V\), 19-37 [Zbl 1430.20025]
Bieri, Robert; Geoghegan, Ross, Limit sets for modules over groups acting on a CAT(0) space, 38-45 [Zbl 1430.20032]
Bleak, Collin; Juschenko, Kate, Ideal structure of the \(C^\ast\)-algebra of R. Thompson’s group \(T\), 46-66 [Zbl 1430.46017]
Farley, Daniel, Local similarity groups with context-free co-word problem, 67-91 [Zbl 1430.20026]
Guilbault, Craig R., Compacta with shapes of finite complexes: a direct approach to the Edwards-Geoghegan-Wall, 92-110 [Zbl 1430.57021]
Jones, Keith; Kelsey, Gregory A., The horofunction boundary of the lamplighter group \(L_2\) with the Diestel-Leader metric, 111-134 [Zbl 1430.20036]
Minemyer, Barry, Intrinsic geometry of a Euclidean simplex, 135-145 [Zbl 1430.52012]
Nicas, Andrew; Rosenthal, David, Hyperbolic dimension and decomposition complexity, 146-167 [Zbl 1430.57016]
Qi, Dongwen, Some remarks on the covering groups of a topological group, 168-172 [Zbl 1430.57018]
Witzel, Stefan; Zaremsky, Matthew C. B., The \(\Sigma\)-invariants of Thompson’s group \(F\) via Morse theory, 173-193 [Zbl 1430.20052]

MSC:

20-06	Proceedings, conferences, collections, etc. pertaining to group theory
20F65	Geometric group theory
57Mxx	General low-dimensional topology
00B25	Proceedings of conferences of miscellaneous specific interest