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On Solvable Normal Subgroups of Finite Groups

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Abstract

We consider solvable invariant subgroups of a finite group with bounded primary indices of maximal subgroups. We establish that an invariant subgroup of this type belongs to the product of classical formations and investigate its dispersibility.

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Authors and Affiliations

  1. Gomel University, Belarus

    V. S. Monakhov, M. V. Sel'kin & E. E. Gribovskaya

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  1. V. S. Monakhov
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  2. M. V. Sel'kin
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  3. E. E. Gribovskaya
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Monakhov, V.S., Sel'kin, M.V. & Gribovskaya, E.E. On Solvable Normal Subgroups of Finite Groups. Ukrainian Mathematical Journal 54, 1147–1158 (2002). https://doi.org/10.1023/A:1022018510068

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