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Fusion systems with alternating J‐components
Author(s) -
Aschbacher Michael
Publication year - 2020
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12335
Subject(s) - component (thermodynamics) , fusion , centralizer and normalizer , involution (esoterism) , mathematics , combinatorics , physics , thermodynamics , biology , philosophy , neuroscience , consciousness , linguistics
Abstract We essentially determine the saturated 2‐fusion systems of J‐component type in which the centralizer of some fully centralized involution of maximal 2‐rank contains a component that is the 2‐fusion system of an alternating group A n for some n ⩾ 8 .