TY  - BOOK
AU  - Broto,Carles
AU  - Møller,Jesper M.
AU  - Oliver,Bob
TI  - Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type
T2  - Memoirs of the American Mathematical Society Series
SN  - 9781470455071
AV  - QA177 .B768 2019
U1  - 512.20000000000005 
PY  - 2019///
CY  - Providence
PB  - American Mathematical Society
KW  - Finite simple groups
KW  - Electronic books
N1  - Cover -- Title page -- Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type by Carles Broto, Jesper M. Møller, and Bob Oliver -- Introduction -- Tables of substitutions for Theorem B -- Chapter 1. Tame and reduced fusion systems -- Chapter 2. Background on finite groups of Lie type -- Chapter 3. Automorphisms of groups of Lie type -- Chapter 4. The equicharacteristic case -- Chapter 5. The cross characteristic case: I -- Chapter 6. The cross characteristic case: II -- Appendix A. Injectivity of  _{ } by Bob Oliver -- A.1. Classical groups of Lie type in odd characteristic -- A.2. Exceptional groups of Lie type in odd characteristic -- Bibliography for Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type -- Automorphisms of Fusion Systems of Sporadic Simple Groups by Bob Oliver -- Introduction -- Chapter 1. Automorphism groups of fusion systems: Generalities -- Chapter 2. Automorphisms of 2-fusion systems of sporadic groups -- Chapter 3. Tameness at odd primes -- Chapter 4. Tools for comparing automorphisms of fusion and linking systems -- Chapter 5. Injectivity of  _{ } -- Bibliography for Automorphisms of Fusion Systems of Sporadic Simple Groups -- Back Cover
N2  - For a finite group G of Lie type and a prime p, the authors 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 \mathrm{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^\wedge _p in terms of \mathrm{Out}(G)
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6118466
ER  -