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Closure operations and group algebras

Published online by Cambridge University Press:  20 January 2009

J. D. P. Meldrum  and
D. A. R. Wallace
J. D. P. Meldrum
Affiliation:
University of Edinburgh
D. A. R. Wallace
Affiliation:
University of Aberdeen
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Let G be a group and let K be a field. The twisted group algebra Kt(G) of G over K is defined as follows: let G have elements a, b, c, … and let Kt(G) be the vector space over K with basis elements ; let α: G ×G → K be a 2-cocycle and define a multiplication on Kt(G) by

extending this by linearity to Kt(G) yields an associative algebra. We are interested in information concerning the Jacobson radical of Kt(G), denoted by JKt(G).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 2 , December 1972 , pp. 149 - 158
Copyright
Copyright © Edinburgh Mathematical Society 1972

References

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