Reduced Fusion Systems Over 2-Groups of Sectional Rank at Most 4

Häftad, Engelska, 2016

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The author classifies all reduced, indecomposable fusion systems over finite $2$-groups of sectional rank at most $4$. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional $2$-rank at most $4$. But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems.

Produktinformation

Utgivningsdatum2016-01-01
Mått178 x 254 x undefined mm
Vikt170 g
FormatHäftad
SpråkEngelska
SerieMemoirs of the American Mathematical Society
FörlagAmerican Mathematical Society
ISBN9781470415488

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Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

IntroductionBackground on fusion systemsNormal dihedral and quaternion subgroupsEssential subgroups in $2$-groups of sectional rank at most $4$Fusion systems over $2$-groups of type $G_2(q)$Dihedral and semidihedral wreath productsFusion systems over extensions of $UT_3(4)$Appendix A. Background results about groupsAppendix B. Subgroups of $2$-groups of sectional rank $4$Appendix C. Some explicit $2$-groups of sectional rank $4$Appendix D. Actions on $2$-groups of sectional rank at most $4$Bibliography