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A lattice theoretic characterization of prefrattini subgroups

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Abstract

Consider an interval [H,G] in the lattice of subgroups of a finite soluble groupG. We define a certain set of subgroups in the lattice [H,G], and prove that they are conjugate inG. ForH=1 one gets the prefrattini subgroups ofG.

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References

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Authors and Affiliations

  1. Mathematisches Institut, Albert-Ludwigs-Universität, Albertstraße 23 b, D-7800, Friburg, West Germany

    Peter Hauck

  2. Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstraße 1 1/2, D-8520, Erlangen, West Germany

    Hans Kurzweil

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  1. Peter Hauck
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  2. Hans Kurzweil
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Hauck, P., Kurzweil, H. A lattice theoretic characterization of prefrattini subgroups. Manuscripta Math 66, 295–301 (1990). https://doi.org/10.1007/BF02568498

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  • DOI: https://doi.org/10.1007/BF02568498

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