Reduced Fusion Systems Over 2-Groups of Sectional Rank at Most 4
Will be published approx. on 30. January 2016
Book
Paperback/Softback
100 pages
978-1-4704-1548-8 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
170 gr
ISBN-13
978-1-4704-1548-8 (9781470415488)
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Schweitzer Classification
Person
Bob Oliver, LAGA, Institut Galilee, Universite Paris, Villetaneuse, France.
Content
Introduction
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 $4$
Bibliography
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 $4$
Bibliography