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Book Cover
Author Oliver, Robert, 1949-

Title Reduced fusion systems over 2-groups of sectional rank at most 4 / Bob Oliver
Published Providence, Rhode Island : American Mathematical Society, 2016


Description 1 online resource
Series Memoirs of the American Mathematical Society, 1947-6221 ; no. 1131
Contents Introduction Chapter 1. Background on fusion systems Chapter 2. Normal dihedral and quaternion subgroups Chapter 3. Essential subgroups in $2$-groups of sectional rank at most $4$ Chapter 4. Fusion systems over $2$-groups of type $G_2(q)$ Chapter 5. Dihedral and semidihedral wreath products Chapter 6. Fusion systems over extensions of $\mathit {UT}_3(4)$ 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 $4$
Summary 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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Finite groups.
Finite simple groups.
Algebraic topology.
Algebraic topology
Finite groups
Finite simple groups
Form Electronic book
ISBN 9781470427450