Extensions of p-local nite groups

By C. Broto, Natàlia Castellana, Jesper Grodal, Ran Levi, B. Oliver. 2007

65 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/47098efa34d815e5e81cd32ddb9654f8fc67c393

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In Discrete Mathematics and Combinatorics

1. J. Ventura
2. B. Oliver
3. Markus Linckelmann

In Geometry and Topology

1. J. Ventura
2. B. Oliver
3. Markus Linckelmann
4. Ran Levi

In Mathematical Physics

1. J. Ventura
2. B. Oliver
3. Markus Linckelmann
4. Ran Levi

Citations in the corpus

• Extensions of linking systems with p-group kernel (2007, background): “Certain types of extensions of p-local finite groups, and in particular central extensions, were studied in [ 3 ].”