Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian
Keywords:
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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Published
2019-05-08
How to Cite
Aslanyan, H. T., Gevorgyan, A. L., & Grigoryan, H. A. (2019). Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian. Armenian Journal of Mathematics, 11(6), 1–6. Retrieved from http://armjmath.sci.am/index.php/ajm/article/view/281