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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2012 Volume 92, Issue 4, Pages 559–566 (Mi mzm9045)
On the Membership Problem of Finite Groups in Solvably Saturated Formations

S. F. Kamornikova, L. P. Avdashkovab

a Gomel Branch of International Institute of Labor and Social Relations
b Belarusian State University of Trade and Economics of Consumer's Cooperation

Abstract: Theorems on the inclusion of a finite group $G$ in a solvably saturated formation $\mathfrak F$ are proved in terms of $\mathfrak F$-centrality and $c$-normality.

Keywords: saturated formation, solvably saturated formation, $\mathfrak F$-central formation, $c$-normal subgroup, Frattini extension.

UDC: 512.542

Received: 24.02.2011

DOI: 10.4213/mzm9045


 English version: Mathematical Notes, 2012, 92:4, 513–518

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© Steklov Math. Inst. of RAS, 2024