English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

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 Lück–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.

Linear Groups, Conjugacy Growth, and Classifying Spaces for Families of Subgroups