|
|
|||
|
||||
OverviewLet $p$ 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. Full Product DetailsAuthor: Michael AschbacherPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.794kg ISBN: 9781470456658ISBN 10: 1470456656 Pages: 456 Publication Date: 30 May 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationMichael Aschbacher, California Institute of Technology, Pasadena, CA Tab Content 6Author Website:Countries AvailableAll regions |