Generalized wreath products of $m$-groups
Algebra i logika, Tome 58 (2019) no. 2, pp. 167-178
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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.
Mots-clés :
$m$-group
Keywords: $m$-transitive representation, primitive component, generalized wreath product.
Keywords: $m$-transitive representation, primitive component, generalized wreath product.
@article{AL_2019_58_2_a1,
author = {A. V. Zenkov and O. V. Isaeva},
title = {Generalized wreath products of $m$-groups},
journal = {Algebra i logika},
pages = {167--178},
publisher = {mathdoc},
volume = {58},
number = {2},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2019_58_2_a1/}
}
A. V. Zenkov; O. V. Isaeva. Generalized wreath products of $m$-groups. Algebra i logika, Tome 58 (2019) no. 2, pp. 167-178. http://geodesic.mathdoc.fr/item/AL_2019_58_2_a1/