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Matematicheskie Zametki, 2012, Volume 92, Issue 4, Pages 559–566
DOI: https://doi.org/10.4213/mzm9045 (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
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DOI: https://doi.org/10.4213/mzm9045
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.
Received: 24.02.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 4, Pages 513–518
DOI: https://doi.org/10.1134/S0001434612090234
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: S. F. Kamornikov, L. P. Avdashkova, “On the Membership Problem of Finite Groups in Solvably Saturated Formations”, Mat. Zametki, 92:4 (2012), 559–566; Math. Notes, 92:4 (2012), 513–518
Citation in format AMSBIB
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