@article{76ea25d832f1460eb06b840bf3945326,

title = "Simplicity of fusion systems of finite simple groups",

abstract = "We determine for which known finite simple groups G and which primes p the p-fusion system of G is simple. This means first collecting together the results that were already known (and correcting two errors made in an earlier study of this question), and then handling the remaining cases. At the same time, we develop some new tools to use when determining Op'(F) for arbitrary saturated fusion systems. ",

keywords = "Automorphisms, Finite simple groups, Fusion systems",

author = "Bob Oliver and Albert Ruiz",

note = "Funding Information: Received by the editors July 15, 2020, and, in revised form, December 12, 2020. 2020 Mathematics Subject Classification. Primary 20D05; Secondary 20D20, 20D45. Key words and phrases. Finite simple groups, fusion systems, automorphisms. The first author was partially supported by UMR 7539 of the CNRS. The second author was partially supported by MICINN grant MTM2016-80439-P and AGAUR grant 2017-SGR-1725. Publisher Copyright: {\textcopyright} 2021 American Mathematical Society.",

year = "2021",

month = jul,

day = "2",

doi = "10.1090/tran/8424",

language = "English",

volume = "374",

pages = "7743--7777",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

number = "11",

}