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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2011 Volume 90, Issue 5, Pages 727–735 (Mi mzm4729)

This article is cited in 1 paper

On $\mathfrak F$-Reachable Subgroups of Finite Groups

M. V. Sel'kin, R. V. Borodich

Francisk Skorina Gomel State University

Abstract: The structure of $\mathfrak F$-reachable subgroups in $\Theta$-Frattini extensions is established.

Keywords: finite group, maximal subgroup, $\mathfrak F$-reachable subgroup, $\Theta$-Frattini extension, hereditary formation, supersolvable group, Frattini $\Theta$-subgroup, saturated formation, Hall subgroup.

UDC: 512.542

Received: 04.04.2008
Revised: 03.12.2010

DOI: 10.4213/mzm4729


 English version:
Mathematical Notes, 2011, 90:5, 715–722

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© Steklov Math. Inst. of RAS, 2024