Quaternion Fusion Packets
Book Details
Format
Paperback / Softback
Book Series
Contemporary Mathematics
ISBN-10
1470456656
ISBN-13
9781470456658
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 30th, 2021
Print length
456 Pages
Weight
794 grams
Product Classification:
Groups & group theoryGroups and group theory
Ksh 18,700.00
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Provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program.
Let $p$ be a prime and$S$ a finite $p$-group. A $p$-fusion system on $S$ is a category whose objects are the subgroups of $S$ and whose morphisms are certain injective group homomorphisms. Fusion systems are of interest in modular representation theory, algebraic topology, and local finite group theory. The book provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program. The first part of the program aims to determine a large subclass of the class of simple 2-fusion systems, while part two seeks to use the result on fusion systems to simplify the proof of the theorem classifying the finite simple groups.
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