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The Structure of Groups Possessing Carter Subgroups of Odd Order

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Algebra and Logic Aims and scope

Let a group G contain a Carter subgroup of odd order. It is shown that every composition factor of G either is Abelian or is isomorphic to L 2(32n + 1), n ≥ 1. Moreover, if 3 does not divide the order of a Carter subgroup, then G solvable.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    E. P. Vdovin

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    E. P. Vdovin

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  1. E. P. Vdovin
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Correspondence to E. P. Vdovin.

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Translated from Algebra i Logika, Vol. 54, No. 2, pp. 158–162, March-April, 2015.

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Vdovin, E.P. The Structure of Groups Possessing Carter Subgroups of Odd Order. Algebra Logic 54, 105–107 (2015). https://doi.org/10.1007/s10469-015-9330-0

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  • DOI: https://doi.org/10.1007/s10469-015-9330-0

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