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On varieties of groups in which all periodic groups are abelian

S. V. Ivanov·A. M. Storozhev
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Abstract

To solve a number of problems on varieties of groups, stated by Kleiman, Kuznetsov, Ol'shanskii, Shmel'kin in the 1970's and 1980's, we construct continuously many varieties of groups in which all periodic groups are abelian and whose pairwise intersections are the variety of all abelian groups.

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S. V. Ivanov, A. M. Storozhev. 2003-12-29. On varieties of groups in which all periodic groups are abelian. https://arxiv.org/abs/math/0312492

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