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Quaternion Fusion Packets by Michael Aschbacher (Paperback, 2021)
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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.
- Buy it nowQuaternion Fusion Packets (Contemporary Mathematics) by Michael Aschbacher
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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.Product Identifiers
PublisherAmerican Mathematical Society
ISBN-139781470456658
eBay Product ID (ePID)9049034867
Product Key Features
Number of Pages456 Pages
Publication NameQuaternion Fusion Packets
LanguageEnglish
SubjectMathematics
Publication Year2021
TypeTextbook
AuthorMichael Aschbacher
SeriesContemporary Mathematics
FormatPaperback
Dimensions
Item Height254 mm
Item Weight794 g
Item Width178 mm
Additional Product Features
Country/Region of ManufactureUnited States
Title_AuthorMichael Aschbacher
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