02388nam 2200481 450 991081913090332120200410094542.01-4704-5507-2(CKB)4100000010348409(MiAaPQ)EBC6118466(RPAM)21568691(PPN)245282823(EXLCZ)99410000001034840920200410d2019 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAutomorphisms of fusion systems of finite simple groups of lie type /Carles Broto, Jesper M. Møller, Bob OliverProvidence, Rhode Island :American Mathematical Society,[2019]©20191 online resource (vi, 163 pages) illustrationsMemoirs of the American Mathematical Society ;Volume 1267"Automorphisms of fusion systems of sporadic simple groups"--Title page.1-4704-3772-4 Includes bibliographical references."For a finite group G of Lie type and a prime p, we compare the automorphism groups of the fusion and linking systems of G at p with the automorphism group of G itself. When p is the defining characteristic of G, they are all isomorphic, with a very short list of exceptions. When p is different from the defining characteristic, the situation is much more complex, but can always be reduced to a case where the natural map from Out(G) to outer automorphisms of the fusion or linking system is split surjective. This work is motivated in part by questions involving extending the local structure of a group by a group of automorphisms, and in part by wanting to describe self homotopy equivalences of BG[caret]p in terms of Out(G)."--Provided by publisher.Memoirs of the American Mathematical Society ;Volume 1267.Finite simple groupsFinite simple groups.512.220D0620D2020D4520E4255R35mscBroto Carles11785Møller JesperOliver Robert1949-MiAaPQMiAaPQMiAaPQBOOK9910819130903321Automorphisms of fusion systems of finite simple groups of lie type4002060UNINA