Serge Bouc's Books

Biset Functors for Finite Groups

By: serge Bouc

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Biset Functors for Finite Groups

By: serge Bouc

This volume exposes the theory of biset functors for finite groups, which yields a unified framework for operations of induction, restriction, inflation, deflation and transport by isomorphism. The first part recalls the basics on biset categories and biset functors. The second part is concerned with the Burnside functor and the functor of complex characters, together with semisimplicity issues and an overview of Green biset functors. The last part is devoted to biset functors defined over p-groups for a fixed prime number p. This includes the structure of the functor of rational representations and rational p-biset functors. The last two chapters expose three applications of biset functors to long-standing open problems, in particular the structure of the Dade group of an arbitrary finite p-group.This book is intended both to students and researchers, as it gives a didactic exposition of the basics and a rewriting of advanced results in the area, with some new ideas and proofs.

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Page Count

303

Publisher

Springer

Published Date

ISBN 10

3642112978

ISBN 13

9783642112973

Green Functors and G-sets

By: serge Bouc

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Green Functors and G-sets

By: serge Bouc

This book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be extended to Green functors (opposite Green functor, bimodules, Morita theory, simple modules, centres,...). There are moreover connections between Green functors for different groups, given by functors associated to bisets. Intended for researchers and students in representation theory of finite groups it requires only basic algebra and category theory, though knowledge of the classical examples of Mackey functors is probably preferable.

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345

Publisher

Springer

Published Date

ISBN 10

3540695966

ISBN 13

9783540695967

Non-Additive Exact Functors and Tensor Induction for Mackey Functors

By: Serge Bouc

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Non-Additive Exact Functors and Tensor Induction for Mackey Functors

By: Serge Bouc

First the author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors. The main result of this section is an extension theorem: any functor defined on a suitable subcategory can be extended uniquely to a right exact functor defined on the whole category. Next those results are used to define various functors of generalized tensor induction, associated to finite bisets, between categories attached to finite groups. This includes a definition of tensor induction for Mackey functors, for cohomological Mackey functors, for p-permutation modules and algebras. This also gives a single formalism of bisets for restriction, inflation, and ordinary tensor induction for modules.

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Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821819518

ISBN 13

9780821819517

French Children of the Holocaust

A Memorial

By: Serge Klarsfeld

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French Children of the Holocaust

A Memorial

By: Serge Klarsfeld

Features biographical information about 11,400 French children who were deported from France to the Nazi death camps, including their names, faces, and addresses.

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Page Count

1932

Publisher

NYU Press

Published Date

ISBN 10

0814726623

ISBN 13

9780814726624

la reine jocaste

By: serge avezou

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la reine jocaste

By: serge avezou

le mythe d'Oedipe revisité à travers le personnage de Jocaste, mère-épouse du héros. la personnalité de Jocaste a été mal explorée jusqu'ici. ce texte lui rend justice

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Page Count

154

Publisher

Lulu.com

Published Date

ISBN 10

1291654259

ISBN 13

9781291654257

Green Functors and G-sets

By: serge Bouc

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Green Functors and G-sets

By: serge Bouc

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345

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Springer

Published Date

ISBN 10

3540695966

ISBN 13

9783540695967

Biset Functors for Finite Groups

By: serge Bouc

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Biset Functors for Finite Groups

By: serge Bouc

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303

Publisher

Springer

Published Date

ISBN 10

3642112978

ISBN 13

9783642112973

Non-Additive Exact Functors and Tensor Induction for Mackey Functors

By: Serge Bouc

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Non-Additive Exact Functors and Tensor Induction for Mackey Functors

By: Serge Bouc

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Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821819518

ISBN 13

9780821819517

Book's by Serge Bouc

Biset Functors for Finite Groups

Biset Functors for Finite Groups

Green Functors and G-sets

Green Functors and G-sets

Non-Additive Exact Functors and Tensor Induction for Mackey Functors

Non-Additive Exact Functors and Tensor Induction for Mackey Functors

French Children of the Holocaust

French Children of the Holocaust

la reine jocaste

la reine jocaste

Green Functors and G-sets

Green Functors and G-sets

Biset Functors for Finite Groups

Biset Functors for Finite Groups

Non-Additive Exact Functors and Tensor Induction for Mackey Functors

Non-Additive Exact Functors and Tensor Induction for Mackey Functors

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