Groups acting on trees and the Eilenberg--Ganea problem for families

Groups acting on trees and the Eilenberg--Ganea problem for families

We construct new examples of groups with cohomological dimension 2 and geometric dimension 3 with respect to the families of finite subgroups, virtually abelian groups of bounded rank, and the family of virtually poly-cyclic subgroups. Our main ingredients are the examples constructed by Brady-Leary...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2020-12, Vol.148 (12), p.5469-5479
1. Verfasser: Luis Jorge Sánchez Saldaña
Format: Artikel
Sprache:eng
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Zusammenfassung:We construct new examples of groups with cohomological dimension 2 and geometric dimension 3 with respect to the families of finite subgroups, virtually abelian groups of bounded rank, and the family of virtually poly-cyclic subgroups. Our main ingredients are the examples constructed by Brady-Leary-Nucinckis and Fluch-Leary, and Bass-Serre theory.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/15203