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On the prefrattini subgroups of finite soluble groups

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Abstract

We study the partially prefrattini groups of a finite soluble group. We prove that the set of all partially prefrattini subgroups associated with the Gaschütz system of complements to crowns is a Boolean lattice.

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Authors and Affiliations

  1. F. Skorina Gomel State University, Gomel’, Belarus

    S. F. Kamornikov

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  1. S. F. Kamornikov
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Dedicated to My Teacher Professor L. A. Shemetkov on the Occasion of His 70th Birthday.

Original Russian Text Copyright © 2008 Kamornikov S. F.

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Gomel’. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 6, pp. 1310–1318, November–December, 2008.

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Kamornikov, S.F. On the prefrattini subgroups of finite soluble groups. Sib Math J 49, 1044–1050 (2008). https://doi.org/10.1007/s11202-008-0100-2

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  • DOI: https://doi.org/10.1007/s11202-008-0100-2

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