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Groups with finite rank elements

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Ukrainian Mathematical Journal Aims and scope

Abstract

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).

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Literature cited

  1. V. P. Shunkov, “A locally finite group with extremal Sylow p-subgroups for some prime number p,” Sib. Mat. Zh.,8, No. 1, 213–229 (1967).

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Authors and Affiliations

  1. Krasnoyarsk University, USSR

    V. O. Gomer

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  1. V. O. Gomer
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 6, pp. 836–839, June, 1992.

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Gomer, V.O. Groups with finite rank elements. Ukr Math J 44, 753–755 (1992). https://doi.org/10.1007/BF01056959

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  • DOI: https://doi.org/10.1007/BF01056959

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