Fusion systems on small p-groups

2010/07/09 by David Craven, Craven, David A., Adam Glesser +1 · 1 citation
Mathematics · #20D20 #20D45 #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1007.1639

openalex publication_date 2010/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Functorial equivalence classes of 2-blocks of tame representation type

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