Periodic cohomology and subgroups with bounded Bredon cohomological dimension

Jang Hyun Jo, Brita Nucinkis

Research output: Contribution to journalArticlepeer-review

Abstract

Mislin and Talelli showed that a torsion-free group in $\mathbf{H}\mathfak{F}$
with periodic cohomology after some steps has finite cohomological
dimension. In this note we look at similar questions for groups with
torsion by considering Bredon cohomology. In particular we show that
every elementary amenable group acting freely and properly on some
$\mathbb{R}^n\times S^m$ admits a finite dimensional model for $\underline{E}G$
Original language English 329-336 8 Mathematical Proceedings of the Cambridge Philosophical Society 144 2 11 Feb 2008 https://doi.org/10.1017/S0305004107000837 Published - 2008