V. N. Rizhik, I. N. Safonova, “Criteria for $\sigma$-solvability and meta-$\sigma$-nilpotency of a finite group”, Sibirsk. Mat. Zh., 2021, Volume 62, Number 6,Pages 1369

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Criteria for $\sigma$-solvability and meta-$\sigma$-nilpotency of a finite group

V. N. Rizhik^a, I. N. Safonova^b

^a Bryansk State Agrarian University, Kokino, Russia
^b Belarusian State University, Minsk, Belarus

Abstract: We study some conditions for a group to be $\sigma$-solvable or meta-$\sigma$-nilpotent.

Keywords: finite group, $\sigma$-solvable group, $\sigma$-subnormal subgroup, $\sigma$-permutable subgroup, partially $\sigma$-permutable subgroup, submodular subgroup.

UDC: 512.542

Received: 17.05.2021
Revised: 17.05.2021
Accepted: 11.06.2021

DOI: 10.33048/smzh.2021.62.612