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International Journal of Mathematics and Mathematical Sciences | Vol.2005, Issue.12 | 2017-05-30 | Pages

On Semiabelian Groups

N. F. Kuzennyi,I. Ya. Subbotin

Abstract

We establish some structural results on the semiabelian groups, that is, groups generated by their cyclic normal subgroups. Such groups play a significant role in the theory of supersoluble groups. A description of two-generated semiabelian groups and torsion-free semiabelian groups is obtained.

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On Semiabelian Groups

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Keywords

cyclic normal twogenerated semiabelian groups of supersoluble

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N. F. Kuzennyi,I. Ya. Subbotin,.On Semiabelian Groups. 2005 (12),.

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