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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer Berlin Heidelberg

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DOI

10.1016/0002-9378(71)90487-x

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1432-1823

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Saturated fusion systems over mathcal A 2g

Authors: Jun Liao Jiping Zhang
Publish Date: 2015/11/30
Volume: 282, Issue: 3-4, Pages: 1137-1147
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Abstract

In this paper we study the saturated fusion systems mathcal F over mathcal A 2groups S of order greater than p4 This study requires the analysis of the possible saturated fusion systems in terms of the mathcal Fautomorphisms of the possible mathcal Fcentric and mathcal Fradical subgroups Also for each case in the classification either S is resistant or mathcal F is constrained The classification identifies a large family of resistant groups complementing the results on resistant groups found by various authors such as Green–Minh Stancu and Díaz–Ruiz–Viruel Moreover the classification provides some interesting examples of saturated fusion systems which have an mathcal Fessential abelian subgroup of index p

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