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• W2963448981 abstract "Given a group $G$ and a family of subgroups $mathcal{F}$, we consider its classifying space $E_{mathcal F}G$ with respect to $mathcal{F}$. When $mathcal F = mathcal{VC}yc$ is the family of virtually cyclic subgroups, Juan-Pineda and Leary conjectured that a group admits a finite model for this classifying space if and only if it is virtually cyclic. By establishing a connection to conjugacy growth we can show that this conjecture holds for linear groups. We investigate a similar question that was asked by Luck--Reich--Rognes--Varisco for the family of cyclic subgroups. Finally, we construct finitely generated groups that exhibit wild inner automorphims but which admit a model for $E_{mathcal{VC}yc}(G)$ whose 0-skeleton is finite." @default.
• W2963448981 created "2019-07-30" @default.
• W2963448981 creator A5021237610 @default.
• W2963448981 creator A5060509303 @default.
• W2963448981 date "2017-09-14" @default.
• W2963448981 modified "2023-09-24" @default.
• W2963448981 title "Linear Groups, Conjugacy Growth, and Classifying Spaces for Families of Subgroups" @default.
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• W2963448981 doi "https://doi.org/10.1093/imrn/rnx215" @default.
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