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    Koshitani, Shigeo 2014. The Projective Cover of the Trivial Module Over a Group Algebra of a Finite Group. Communications in Algebra, Vol. 42, Issue. 10, p. 4308.
    1996. Vol. 183, Issue. , p. 889.
    1995. Vol. 182, Issue. , p. 887.
    1987. The Jacobson Radical of Group Algebras. Vol. 135, Issue. , p. 501.
    Koshitani, Shigeo 1984. On lower bounds for the radical of a block ideal in a finite p-solvable group. Proceedings of the Edinburgh Mathematical Society, Vol. 27, Issue. 01, p. 65.
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Group algebras of finite p-solvable groups with radicals of the fourth power zero

  • Shigeo Koshitani (a1)
Synopsis

Let J(KG) be the Jacobson radical of the group algebra KG of a finite p-solvable group G over a field K of characteristic p > 0, and let t(G) be the least positive integer t such that J(KG)t = 0. In this paper we determine the structure of G with t(G) = 4 under the assumption that H is abelian, H is metacyclic, or the order of H is not divisible by 3 where H = O2'(G).

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COPYRIGHT: © Royal Society of Edinburgh 1982
References
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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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