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

Author:

Koshitani Shigeo

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. On Fong's reductions;Watanabe;Kumamoto J. Science (Math.),1979

2. Lower bounds for the radical of the group algebra of a finite p-soluble group

3. Group algebras of finite p-solvable groups with radicals of the fourth power zero

4. The structure of the group ring of a p-group over a modular field;Jennings;Trans. Amer. Math. Soc.,1941

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