Vol. 11 No. 6 (2019): Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian

Articles

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

  Hayk T. Aslanyan, Amirjan L. Gevorgyan, Hayk A. Grigoryan

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  Abstract

  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 $m > 1$.

  References