Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian

Author(s)

Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian Hayk Aslanyan

It is proved that all finite subgroups of the free groups of the infinitely based varieties of S.I. Adian are cyclic. The set of all non-isomorphic free groups of rank mm in this varieties is of continuum cardinality for every finite rank m>1m>1.

DOI: 10.52737/18291163-2019.11.6-1-6 Armenian Journal of Mathematics, 11(6) 1-6

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Keywords

infinitely based variety, torsion-free groups, free Burnside group

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