2017
Том 69
№ 9

All Issues

On Finite Groups with Permutable Generalized Subnormal Subgroups

Semenchuk V. N., Velesnitskii V. F.

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Abstract

We study the Kegel–Shemetkov problem of finding the classes of finite groups \( {\mathfrak F} \) such that, in any finite group, the product of permutable \( {\mathfrak F} \) -subnormal subgroups is a \( {\mathfrak F} \) -subnormal subgroup.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 11, pp 1720-1724.

Citation Example: Semenchuk V. N., Velesnitskii V. F. On Finite Groups with Permutable Generalized Subnormal Subgroups // Ukr. Mat. Zh. - 2013. - 65, № 11. - pp. 1555–1559.

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