On finite groups with p-decomposable cofactors of subgroups

被引:0
作者
I. V. Lemeshev
机构
[1] Gomel State University,
来源
Mathematical Notes | 2012年 / 92卷
关键词
finite group; cofactor of a subgroup; Fitting subgroup; p-decomposable subgroup; metanilpotent group;
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学科分类号
摘要
It is proved that, for a finite group with p-decomposable cofactors of the maximal subgroups, the quotient group by the Fitting subgroup is p-decomposable. This implies that every group all of whose maximal subgroups have nilpotent cofactors is metanilpotent.
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页码:396 / 401
页数:5
相关论文
共 4 条
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  • [2] Dixon J. D.(1969)A generalization of Hamiltonian and nilpotent groups Math. Z. 112 335-339
  • [3] Poland J.(undefined)undefined undefined undefined undefined-undefined
  • [4] Rhemtulla A. H.(undefined)undefined undefined undefined undefined-undefined