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020 a| 1107601002 (pbk.);

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100 1 a| Aschbacher, Michael,d| 1944-=| ^A120958;

245 10 a| Fusion systems in algebra and topologyh| [electronic resource] /c| Michael Aschbacher, Radha Kessar, Bob Oliver.;

260 a| Cambridge ;a| New York :b| Cambridge University Press,;

300 a| vi, 320 p. :b| ill. ;c| 23 cm.;

490 1 a| London mathematical society lecture note series ;v| 391;

500 a| Includes index.;

504 a| Includes bibliographical references (p. 306-313) and index.;

505 8 a| Machine generated contents note: Introduction; 1. Introduction to fusion systems; 2. The local theory of fusion systems; 3. Fusion and homotopy theory; 4. Fusion and representation theory; Appendix. Background facts about groups; References; List of notation; Index.;

506 a| Available only to authorized users.;

520 a| "A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Combinatorial group theory.=| ^A194101;

650 0 a| Topological groups.=| ^A27512;

650 0 a| Algebraic topology.=| ^A22632;

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

700 1 a| Kessar, Radha.?| UNAUTHORIZED;

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

830 0 a| London Mathematical Society lecture note series ;v| 391.=| ^A27188;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=802953;

947 a| (OCoLC)ocn727702110;

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

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998 a| 4965741;

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Fusion systems in algebra and topology / Michael Aschbacher, Radha Kessar, Bob Oliver.

Author/creator	Aschbacher, Michael, 1944-
Other author	Kessar, Radha.
Other author	Oliver, Robert, 1949-
Format	Electronic
Publication Info	Cambridge ; New York : Cambridge University Press,
Description	vi, 320 p. : ill. ; 23 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Combinatorial group theory. Topological groups. Algebraic topology.

Series	London mathematical society lecture note series ; 391 London Mathematical Society lecture note series ; 391. ^A27188
Contents	Machine generated contents note: Introduction; 1. Introduction to fusion systems; 2. The local theory of fusion systems; 3. Fusion and homotopy theory; 4. Fusion and representation theory; Appendix. Background facts about groups; References; List of notation; Index.
Abstract	"A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians"-- Provided by publisher.
General note	Includes index.
Bibliography note	Includes bibliographical references (p. 306-313) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2011019266
ISBN	9781107601000 (pbk.)
ISBN	1107601002 (pbk.)

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Fusion systems in algebra and topology / Michael Aschbacher, Radha Kessar, Bob Oliver.

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