Periodic cohomology and subgroups with bounded Bredon cohomological dimension

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초록

Mislin and Talelli showed that a torsion-free group in HF 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 R-n x S-m admits a finite dimensional model for (E) under barG.

키워드

ELEMENTARY AMENABLE-GROUPSCLASSIFYING SPACEHOMOLOGY
제목
Periodic cohomology and subgroups with bounded Bredon cohomological dimension
저자
Jo, Jang HyunNucinkis, Brita E. A.
DOI
10.1017/S0305004107000837
발행일
2008-03
유형
Article
저널명
Mathematical Proceedings of the Cambridge Philosophical Society
144
페이지
329 ~ 336