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On lower bounds for the radical of a block ideal in a finite p-solvable group

Published online by Cambridge University Press:  20 January 2009

Shigeo Koshitani
Shigeo Koshitani
Affiliation:
Department of Mathematics, Faculty of Science, Chiba University, Yayoi-Cho, Chiba-City, 260Japan
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Let F be any field of characteristic p > 0, G a finite p-solvable group, pa the order of Sylow p-subgroups of G, FG the group algebra of G over F, and J(FG) the Jacobson radical of FG. Following Wallace [11] we write t(G) for the least integer t≧1 such that J(FG)t = 0.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 1 , February 1984 , pp. 65 - 71
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

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