Groups with finite rank elements
With the aid of the notion of the rank of an element in an arbitrary group, we prove a criterion for an infinite group to be nonsimple and find conditions under which a q-biprimitively finite group G with Chernikov Sylow q-subgroups has a Chernikov quotient group G/Op?(G).
English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 6, pp 753-755.
Citation Example: Gomer V. O. Groups with finite rank elements // Ukr. Mat. Zh. - 1992. - 44, № 6. - pp. 836–839.