Fusion systems on small p-groups
Group Theory
2010-07-12 v1 Representation Theory
Abstract
In this article we study several classes of `small' 2-groups: we complete the classification, started in [Stancu, 2006], of all saturated fusion systems on metacyclic p-groups for all primes p. We consider Suzuki 2-groups, and classify all center-free saturated fusion systems on 2-groups of 2-rank 2. We end by classifying all possible F-centric, F-radical subgroups in saturated fusion systems on 2-groups of 2-rank 2.
Cite
@article{arxiv.1007.1639,
title = {Fusion systems on small p-groups},
author = {David A. Craven and Adam Glesser},
journal= {arXiv preprint arXiv:1007.1639},
year = {2010}
}
Comments
22 pages, Submitted to Trans. Amer. Math. Soc