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THE GREEN CORRESPONDENCE FOR INFINITELY GENERATED MODULES

Published online by Cambridge University Press:  19 March 2001

D. J. BENSON  and
WAYNE W. WHEELER
D. J. BENSON
Affiliation:
Department of Mathematics, University of Georgia, Athens, GA 30602, USA; [email protected]
WAYNE W. WHEELER
Affiliation:
Center for Communications Research, 4320 Westerra Court, San Diego, CA 92117, USA; [email protected]
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Abstract

If G is a finite group, then the usual version of the Green correspondence applies to finitely generated kG-modules when k is a field of characteristic p > 0 or a p-adic ring. The paper presents a categorical version of the Green correspondence and a version of the Burry–Carlson–Puig theorem that remain valid for arbitrary modules and coefficient rings. In this generality, however, it is not clear whether the Green correspondent of a finitely generated module is always finitely generated.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 63 , Issue 1 , February 2001 , pp. 69 - 82
Copyright
The London Mathematical Society 2001

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