{"product_id":"quaternion-fusion-packets","title":"Quaternion Fusion Packets","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.","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":54189112525144,"sku":null,"price":116.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781470456658.jpg?v=1780389052","url":"https:\/\/agendabookshop.com\/products\/quaternion-fusion-packets","provider":"Agenda Bookshop","version":"1.0","type":"link"}