Given two finite p-local finite groups and a fusion preserving morphism between their Sylow subgroups, we study the question of extending it to a continuous map between their classifying spaces. The results depend on the construction of the wreath product of p-local finite groups which is also used to study p-local permutation representations. © 2009 Elsevier Inc. All rights reserved.
- p-Local finite groups
- Permutation representations