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Generalized Commutativity in Group Algebras

Published online by Cambridge University Press:  20 November 2018

Yu. A. Bahturin
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7
M. M. Parmenter
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7
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Abstract

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We study group algebras $FG$ which can be graded by a finite abelian group $\Gamma $ such that $FG$ is $\beta $ -commutative for a skew-symmetric bicharacter $\beta $ on $\Gamma $ with values in ${{F}^{*}}$ .

Information

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2003