2017
Том 69
№ 9

All Issues

On the application of some concepts of ring theory to the study of the influence of systems of subgroups of a group

Piskun M. M., Semko N. N.

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Abstract

We study the groups, in which the family Lnon-nn(G) of all not nearly normal subgroups has the Krull dimension. A subgroup H of the group G is said to be nearly normal if H has finite index in its normal closure.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 5, pp 758-768.

Citation Example: Piskun M. M., Semko N. N. On the application of some concepts of ring theory to the study of the influence of systems of subgroups of a group // Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 657–668.

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