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A Question in the Theory of Totally Local Formations of Finite Groups

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Abstract

It is proved that all proper totally local subformations of a non one-generated totally local formation \(\mathfrak{F}\) of finite groups are one-generated iff \(\mathfrak{F}\) coincides with a formation \(\mathfrak{S}_\pi \) of all soluble π-groups, where |π|=2.

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Authors and Affiliations

  1. Gomel State University, Sovetskaya 104, Gomel, 246019, Belarus

    V. G. Safonov

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  1. V. G. Safonov
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Safonov, V.G. A Question in the Theory of Totally Local Formations of Finite Groups. Algebra and Logic 42, 407–412 (2003). https://doi.org/10.1023/B:ALLO.0000004174.68640.8a

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  • DOI: https://doi.org/10.1023/B:ALLO.0000004174.68640.8a

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