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.
|Number of pages||68|
|Journal||Transactions of the American Mathematical Society|
|Early online date||20 Mar 2007|
|Publication status||Published - Aug 2007|
- p-local finite groups