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

Sánchez Saldaña, Luis

doi:10.1090/proc/15203

Groups acting on trees and the Eilenberg–Ganea problem for families
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by Luis Jorge Sánchez Saldaña

Proc. Amer. Math. Soc. 148 (2020), 5469-5479

DOI: https://doi.org/10.1090/proc/15203

Published electronically: August 17, 2020

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Abstract:

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.

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