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Almost layer finiteness of a periodic group without involutions

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Abstract

We prove a theorem that characterizes the class of almost layer finite groups in the class of periodic groups without involutions: If the normalizer of any nontrivial finite subgroup of a periodic conjugate biprimitive finite group without involutions is almost layer finite, then the group itself is almost layer finite.

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Authors and Affiliations

  1. Computer Center of the Siberian Division of Russian Academy Sciences, Krasnoyarsk, Russia

    V. I. Senashov

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  1. V. I. Senashov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 11, pp. 1529–1533, November, 1999.

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Senashov, V.I. Almost layer finiteness of a periodic group without involutions. Ukr Math J 51, 1729–1732 (1999). https://doi.org/10.1007/BF02525275

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  • DOI: https://doi.org/10.1007/BF02525275

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