A. V. Zenkov, O. V. Isaeva, “Generalized wreath products of <nobr>$m$</nobr>-groups”, Algebra Logika, 2019, Volume 58, Number 2,Pages <nobr>167

This article is cited in 2 papers

Generalized wreath products of $m$-groups

A. V. Zenkov^a, O. V. Isaeva^b

^a Altai State Agricultural University, Barnaul
^b Altai State University, Barnaul

Abstract: The concept of a generalized wreath product of permutation $m$-groups is introduced, and it is proved that an $m$-transitive permutation group embeds into a generalized wreath product of its primitive components.

Keywords: $m$-group, $m$-transitive representation, primitive component, generalized wreath product.

UDC: 512.545

Received: 23.02.2018
Revised: 09.07.2019

DOI: 10.33048/alglog.2019.58.202