We give a new proof of the Minami-Webb formula for classifying spaces of finite groups by exploiting Symonds's resolution of Webb's conjecture. The methods are applicable to obtain a stable decomposition of Minami's type for the classifying spaces of the three exotic p-local finite groups which were introduced by Ruiz and Viruel at the prime 7. We obtain a similar decomposition for the classifying spaces of a family of exotic p-local finite groups which were constructed by Broto, Levi and Oliver.
|Number of pages||34|
|Early online date||6 Sep 2006|
|Publication status||Published - Mar 2007|
- homology decompositions
- p-local finite groups
- homotopy classification
- Mackey functors