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

PFMT, 2018 Issue 3(36), Pages 80–83 (Mi pfmt590)

MATHEMATICS

On complements of residual in extensions of finite groups

S. F. Kamornikova, O. L. Shemetkovab

a F. Scorina Gomel State University
b G.V. Plekhanov Russian University of Economics, Moscow

Abstract: For a saturated formation $\mathfrak{F}$ the problem of complementability of $\mathfrak{F}$-residual in extension of the finite group which is the product of normal subgroups is established.

Keywords: finite group, formation, residual, complement, saturated Fitting formation.

UDC: 512.542

Received: 12.08.2018



© Steklov Math. Inst. of RAS, 2024