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Clifford Theory for G-Functors

✍ Scribed by J.P Lafuente; I Lizasoain; G Ochoa

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 114 KB
Volume: 231
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8337

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✦ Synopsis

When does a G-functor admit a Clifford theory? In this paper we give a simple axiomatic property which characterizes the existence of such a theory. Satisfaction of this condition in the different contexts leads automatically to the satisfaction of the corresponding theorems of Clifford. We apply it to several examples, some of them already known including the character and Burnside rings.

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