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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A module-theoretic approach
to Clifford theory for blocks


Author: S. J. Witherspoon
Journal: Proc. Amer. Math. Soc. 128 (2000), 661-670
MSC (1991): Primary 20C20, 20C25
Published electronically: July 8, 1999
MathSciNet review: 1646212
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Abstract: This work concerns a generalization of Clifford theory to blocks of group-graded algebras. A module-theoretic approach is taken to prove a one-to-one correspondence between the blocks of a fully group-graded algebra covering a given block of its identity component, and conjugacy classes of blocks of a twisted group algebra. In particular, this applies to blocks of a finite group covering blocks of a normal subgroup.


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Additional Information

S. J. Witherspoon
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
Address at time of publication: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: sjw@math.toronto.edu, sjw@math.wisc.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05224-7
PII: S 0002-9939(99)05224-7
Received by editor(s): April 20, 1998
Published electronically: July 8, 1999
Additional Notes: Research supported in part by NSERC grant # OGP0170281.
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1999 American Mathematical Society