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A module-theoretic approach to Clifford theory for blocks
Author(s):
S.
J.
Witherspoon
Journal:
Proc. Amer. Math. Soc.
128
(2000),
661-670.
MSC (1991):
Primary 20C20, 20C25
Posted:
July 8, 1999
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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:
10.1090/S0002-9939-99-05224-7
PII:
S 0002-9939(99)05224-7
Received by editor(s):
April 20, 1998
Posted:
July 8, 1999
Additional Notes:
Research supported in part by NSERC grant # OGP0170281.
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1999,
American Mathematical Society
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