2017
Том 69
№ 9

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Groups satisfying the condition of weak minimality for subgroups of derived length two

Onishchuk V. A., Sysak Ya. P.

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Abstract

We consider non-Abelian solvable and radical groups that satisfy the condition of weak minimality for subgroups of derived length two. We show that these groups are minimax groups. This is not true for locally solvable groups. We give an example of a group of derived length three that satisfies the condition of weak minimality for the indicated subgroups but is not a minimax group.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 9, pp 1322-1326.

Citation Example: Onishchuk V. A., Sysak Ya. P. Groups satisfying the condition of weak minimality for subgroups of derived length two // Ukr. Mat. Zh. - 1994. - 46, № 9. - pp. 1203–1207.

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