arXiv:math/0312492 Abstract

arXiv:math/0312492 [math.GR]Abstract References Reviews Resources

On varieties of groups in which all periodic groups are abelian

Published 2003-12-29Version 1

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.

Comments: 8 pages

Categories: math.GR

Subjects: 20E10, 20F05, 20F06

Keywords: periodic groups, abelian groups, pairwise intersections

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