Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771727 | Journal of Algebra | 2017 | 53 Pages |
Abstract
We prove, when S is a 2-group of order at most 29, that each reduced fusion system over S is the fusion system of a finite simple group and is tame. It then follows that each saturated fusion system over a 2-group of order at most 29 is realizable. What is most interesting about this result is the method of proof: we show that among 2-groups with order in this range, the ones which can be Sylow 2-subgroups of finite simple groups are almost completely determined by criteria based on Bender's classification of groups with strongly 2-embedded subgroups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kasper K.S. Andersen, Bob Oliver, Joana Ventura,