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Remarks on the commutativity of the radicals of group algebras

Published online by Cambridge University Press:  18 May 2009

Shigeo Koshitani
Shigeo Koshitani
Affiliation:
Department of Mathematics, Tsukuba University, Sakura-mura, Ibaraki 300–31, Japan
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Let K be an arbitrary field with characteristic p > 0, G a finite group of order pag′ with (p, g′) = 1, P a p-Sylow subgroup of G and G′ the commutator subgroup of G. For a ring R denote by J(R) the Jacobson radical of R and by Z(R) the centre of R. We write KG for the group algebra of G over K.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 20 , Issue 1 , January 1979 , pp. 63 - 68
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

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