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On varieties of groups in which all periodic groups are abelian

Research paper by S. V. Ivanov, A. M. Storozhev

Indexed on: 29 Dec '03Published on: 29 Dec '03Published in: Mathematics - Group Theory



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.