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OverviewThe 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. Full Product DetailsAuthor: Bob OliverPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.170kg ISBN: 9781470415488ISBN 10: 1470415488 Pages: 100 Publication Date: 30 January 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Background on fusion systems Normal dihedral and quaternion subgroups Essential subgroups in $2$-groups of sectional rank at most $4$ Fusion systems over $2$-groups of type $G_2(q)$ Dihedral and semidihedral wreath products Fusion systems over extensions of $UT_3(4)$ Appendix A. Background results about groups Appendix 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 $4$ BibliographyReviewsAuthor InformationBob Oliver, LAGA, Institut Galilee, Universite Paris, Villetaneuse, France. Tab Content 6Author Website:Countries AvailableAll regions |
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