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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2013 Issue 2(15), Pages 81–84 (Mi pfmt242)

MATHEMATICS

Finite groups containing a given system of permutable subgroups

T. V. Tihonenko

P. Sukhoi Gomel State Technical University, Gomel

Abstract: Signs of non-simplicity of a solvable radical and criteria of non-simplicity of a finite group, which contains the given system of permutable subgroups were obtained in this paper.

Keywords: finite group, permutable subgroups, solvable radical, nonabelian simple group.

UDC: 512.542

Received: 21.03.2013



© Steklov Math. Inst. of RAS, 2024