Reduced fusion systems over 2-groups of sectional rank at most 4

Reduced fusion systems over 2-groups of sectional rank at most 4 / Bob Oliver.

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 ba...

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Bibliographic Details
Main Author: Oliver, Robert, 1949-
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2016.
Series:Memoirs of the American Mathematical Society, no. 1131
Subjects:
Finite groups.
Finite simple groups.
Algebraic topology.
Algebraic topology
Finite groups
Finite simple groups
Online Access:Click for online access
Table of 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 $4$

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