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010 a| 2020023527;

020 a| 9781470437725q| (paperback);

020 z| 9781470455088q| (ebook);

035 a| (WaSeSS)ssj0002325213;

042 a| pcc;

049 a| EREEa| NEHH;

050 00 a| QA177b| .B755 2019;

082 00 a| 512/.4822| 23;

084 a| 20D06a| 20D20a| 20D45a| 20E42a| 55R352| msc;

100 1 a| Broto, Carles,d| 1959-?| UNAUTHORIZED;

245 10 a| Automorphisms of fusion systems of finite simple groups of Lie typeh| [electronic resource] /c| Carles Broto, Jesper M. Moller, Bob Oliver.;

260 a| Providence, RI :b| American Mathematical Society,c| [2019];

300 a| vi, 163 pages :b| illustrations ;c| 26 cm.;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| Volume 262, Number 1267;

504 a| Includes bibliographical references.;

506 a| Available only to authorized users.;

520 a| "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)."--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Finite simple groups.=| ^A120959;

650 0 a| Automorphisms.=| ^A59191;

650 0 a| Sylow subgroups.=| ^A96887;

650 0 a| Lie groups.=| ^A17435;

650 7 a| Group theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie type [See also 20Gxx].2| msc;

650 7 a| Group theory and generalizations -- Abstract finite groups -- Sylow subgroups, Sylow properties, $\pi$-groups, $\pi$-structure.2| msc;

650 7 a| Group theory and generalizations -- Abstract finite groups -- Automorphisms.2| msc;

650 7 a| Group theory and generalizations -- Structure and classification of infinite or finite groups -- Groups with a $BN$-pair; buildings [See also 51E24].2| msc;

650 7 a| Algebraic topology -- Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] -- Classifying spaces of groups and $H$-spaces.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Møller, Jesper.=| ^A348199;

700 1 a| Oliver, Robert,d| 1949-=| ^A237377;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6118466;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

949 a| CLICK ON WEB ADDRESSw| ASISh| HSL77;

949 a| CLICK ON WEB ADDRESSw| ASISh| JMUSIC60;

596 a| 1 3 4;

998 a| 5641592;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5641592-1001l| JNETm| JOYNERr| Ys| Yt| JNESSBKu| 7/19/2021x| EBOOKz| JERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5641592-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 7/19/2021x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 5641592-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 7/19/2021x| EBOOKz| JERESOURCE;

Automorphisms of fusion systems of finite simple groups of Lie type / Carles Broto, Jesper M. Moller, Bob Oliver.

Author/creator	Broto, Carles, 1959-
Other author	Møller, Jesper.
Other author	Oliver, Robert, 1949-
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, [2019]
Description	vi, 163 pages : illustrations ; 26 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Finite simple groups. Automorphisms. Sylow subgroups. Lie groups.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; Volume 262, Number 1267
Abstract	"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.
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2020023527
ISBN	9781470437725 (paperback)
ISBN	(ebook)

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Automorphisms of fusion systems of finite simple groups of Lie type / Carles Broto, Jesper M. Moller, Bob Oliver.

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