##### Department of Mathematics,

University of California San Diego

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### Topology Colloquium

## Carles Broto

#### University of Autonoma, Barcelona

## p-local finite groups

##### Abstract:

A p-local finite group consists of a finite p-group S, together with a pair of categories that encode "conjugacy relations" among the subgroups of S, modelled on the fusion in Sylow p-subgroups of finite groups. To any p-local finite group, we associate a classifying space. These spaces share many of the same properties of p-completed classifying spaces of finite groups. In particular, a p-local finite group is characterized by its classifying space. This is a survey talk on the theory, from motivation to recent results.

Host: Nitya Kitchloo

### February 17, 2006

### 1:00 PM

### AP&M 6218

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