Extensions of <inf>p</inf>-local finite groups

C. Broto; N. Castellana; J. Grodal; R. Levi; B. Oliver

doi:10.1090/S0002-9947-07-04225-0

Extensions of <inf>p</inf>-local finite groups

C. Broto, N. Castellana, J. Grodal, R. Levi, B. Oliver

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

55 Citations (Scopus)

Abstract

A p-local finite group consists of a finite p-group S, together with a pair of categories which encode "conjugacy" relations among subgroups of S, and which are modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enough information to define a classifying space which has many of the same properties as p-completed classifying spaces of finite groups. In this paper, we study and classify extensions of p-local finite groups, and also compute the fundamental group of the classifying space of a p-local finite group. © 2007 American Mathematical Society.

Original language	English
Pages (from-to)	3791-3858
Journal	Transactions of the American Mathematical Society
Volume	359
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9947-07-04225-0
Publication status	Published - 1 Aug 2007

Keywords

Classifying space
Finite groups
Fusion
P-completion

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AU - Grodal, J.

AU - Levi, R.

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KW - Classifying space

KW - Finite groups

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KW - P-completion

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