S. F. Kamornikov, O. L. Shemetkova, “On permutability of <nobr>$\sigma$</nobr>-subnormal subgroups of finite group”, PFMT, 2019, Issue 3(40),Pages <nobr>70

MATHEMATICS

On permutability of $\sigma$-subnormal subgroups of finite group

S. F. Kamornikov^a, O. L. Shemetkova^b

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

Abstract: Let $\sigma=\{\sigma_i\mid i\in I\}$ be some partition of the set of all primes. In this paper the problem of permutability of $\sigma$-subnormal subgroups of finite group is established.

Keywords: finite group, $\sigma$-group, $\sigma$-subnormal subgroup, formation, residual.

UDC: 512.542

Received: 10.05.2019