Injective Modules, Induction Maps and Endomorphism Rings | Zendy

Brookes C. J. B. | Zendy; Brown K. A. | Zendy

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Injective Modules, Induction Maps and Endomorphism Rings

Author(s) -

Brookes C. J. B.,

Brown K. A.

Publication year - 1993

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/plms/s3-67.1.127

Subject(s) - mathematics , endomorphism , injective function , simple module , vertex (graph theory) , pure mathematics , injective module , modular design , representation theory , algebra over a field , discrete mathematics , graph , simple (philosophy) , computer science , operating system , philosophy , epistemology

Analogues of the vertex‐source pairs of the modular representation theory of finite groups are introduced in order to study injective modules over infinite groups. A simplified analogue of the Green correspondence is established. The analogue of Clifford theory is developed by applying Moody's theorem on G 0 of crossed products to the endomorphism rings of induced modules.

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