Quaternion Fusion Packets, Paperback / softback Book

Quaternion Fusion Packets Paperback / softback

Part of the Contemporary Mathematics series

Paperback / softback

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Description

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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