Abstract
A p-local finite group consists of a finite p-group S, together with a pairof categories which encode “conjugacy” relations among subgroups of S, and whichare modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enoughinformation to define a classifying space which has many of the same properties asp-completed classifying spaces of finite groups. In this paper, we study and classifyextensions of p-local finite groups, and also compute the fundamental group of theclassifying space of a p-local finite group.
Original language | English |
---|---|
Pages (from-to) | 3791–3858 |
Number of pages | 68 |
Journal | Transactions of the American Mathematical Society |
Volume | 359 |
Issue number | 8 |
Early online date | 20 Mar 2007 |
Publication status | Published - Aug 2007 |
Keywords
- p-local finite groups
- Extensions