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

Author: Robert Oliver
Publisher: Providence, Rhode Island : American Mathematical Society, 2016. ©2015
Series: Memoirs of the American Mathematical Society, no. 1131.
Edition/Format:   Print book : EnglishView all editions and formats
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  Read more...

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Document Type: Book
All Authors / Contributors: Robert Oliver
ISBN: 9781470415488 1470415488
OCLC Number: 920672280
Language Note: Text in English.
Notes: "Volume 239, number 1131 (third of 6 numbers), January 2016."
Description: v, 100 pages ; 25 cm.
Contents: 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 G2(q) --
Dihedral and semihedral wreath products --
Fusion systems over extensions of UT3(4). Appendices: A. Background results about groups --
B. Subgroups of 2-groups of sectional rank 4 --
C. Some explicit 2-groups of sectional rank 4 --
D. Actions on 2-groups of sectional rank at most 4.
Series Title: Memoirs of the American Mathematical Society, no. 1131.
Responsibility: Bob Oliver.

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