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Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian
DOI:
https://doi.org/10.52737/18291163-2019.11.6-1-6Keywords:
infinitely based variety, torsion-free groups, free Burnside groupAbstract
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 $m$ in this varieties is of continuum cardinality for every finite rank $m > 1$.
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2019-05-08
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Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian. (2019). Armenian Journal of Mathematics, 11(6), 1-6. https://armjmath.sci.am/index.php/ajm/article/view/281