Description 
1 online resource 
Series 
Memoirs of the American Mathematical Society, 19476221 ; 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 2groups of sectional rank at most 4. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional 2rank 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 

1470427451 

9781470415488 

1470415488 
