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  On the finiteness of the classifying space for the family of virtually cyclic subgroups

Puttkamer, T. v., & Wu, X. (2019). On the finiteness of the classifying space for the family of virtually cyclic subgroups. Groups, Geometry, and Dynamics, 13(2), 707-729. doi:10.4171/GGD/502.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-725A-7 Version Permalink: https://hdl.handle.net/21.11116/0000-000B-4904-F
Genre: Journal Article

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Puttkamer-Wu_On the finiteness of the classifying space for the family of virtually cyclic subgroups_2019.pdf (Publisher version), 271KB
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Puttkamer-Wu_On the finiteness of the classifying space for the family of virtually cyclic subgroups_2019.pdf
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Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer Allianz- bzw. Nationallizenz frei zugänglich. / This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence respectively.
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 Creators:
Puttkamer, Timm von1, Author           
Wu, Xiaolei1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Group Theory
 Abstract: Given a group G, we consider its classifying space for the family of virtually cyclic subgroups. We show for many groups, including for example, one-relator groups, acylindrically hyperbolic groups, 3-manifold groups and CAT(0) cube groups, that they do not admit a finite model for this classifying space unless they are virtually cyclic. This settles a conjecture due to Juan-Pineda and Leary for these classes of groups.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 23
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1607.03790
DOI: 10.4171/GGD/502
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Title: Groups, Geometry, and Dynamics
  Abbreviation : Groups Geom. Dyn.
Source Genre: Journal
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Publ. Info: European Mathematical Society (EMS)
Pages: - Volume / Issue: 13 (2) Sequence Number: - Start / End Page: 707 - 729 Identifier: -