Some related to pronormality subgroup families and the properties of a group

Vladimir V. Kirichenko ; Leonid A. Kurdachenko ; Igor Ya. Subbotin

Algebra and discrete mathematics, Tome 11 (2011) no. 1, pp. 75-108.

Résumé

Some influential families of subgroups such as pronormal subgroups, contranormal subgroups, and abnormal subgroups, their generalizations, characterizations, interplays between them and the group, and their connections to other types of subgroups have been considered.

Détail

Keywords: normal subgroups, subnormal subgroup, contranormal subgroup, abnormal subgroups, pronormal subgroups, transitivity of normality, permutable subgroups, radical group, locally graded group.
Mots-clés : soluble group

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