Abstract
We analyze the split exact sequences of (co)homology groups associated to the spaces of Dwyer which give rise to the centralizer decomposition and subgroup decomposition of the classifying space BG of a finite group. In the first instance these sequences have infinite length. We show that they give rise to finite sequences which are also split and exact. The sequences arise as the first page of a spectral sequence.
Original language | English (US) |
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Pages (from-to) | 483-494 |
Number of pages | 12 |
Journal | Topology |
Volume | 41 |
Issue number | 3 |
DOIs | |
State | Published - 2002 |
Keywords
- Elementary abelian subgroup
- Group cohomology
- Homology decomposition
- Isotropy
- P-radical subgroup