Propagating sharp group homology decompositions

Details Propagating sharp group homology decompositions Propagating sharp group homology decompositions

2004-02-16

arxiv.org/abs/math/0402270v2

Advances in Math. 200 (2006), 525--538

Mathematics

Algebraic Topology

12 pages. Extra counterexamples added. To appear in Advances in Math

Scientific paper

10.1016/j.aim.2005.01.006

A collection C of subgroups of a finite group G can give rise to three different standard formulas for the cohomology of G in terms of either: the subgroups in C; or their centralizers; or their normalizers. We give a short but systematic study of the relationship among such formulas for nine standard collections C of p-subgroups, obtaining some new formulas in the process. To do this, we exhibit some sufficient conditions on the poset C which imply comparison results.

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