Abstract
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.
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.
Original language | English |
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Pages (from-to) | 1302–1344 |
Number of pages | 43 |
Journal | Advances in Mathematics |
Volume | 221 |
Issue number | 4 |
Early online date | 20 Mar 2009 |
DOIs | |
Publication status | Published - 10 Jul 2009 |
Keywords
- fusion systems
- permutation representation
- symmetric groups