Armenian Journal of Mathematics, 11(6)
2022; 1–6
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Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian

Hayk Aslanyan*, Amirjan Gevorgyan, Hayk Grigoryan

Received: 2024-12-11 · Published: 2022-09-15

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CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian
Authors
Hayk Aslanyan, Amirjan Gevorgyan, Hayk Grigoryan
Source journal
Armenian Journal of Mathematics, 11(6)
Published
2022-09-15
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2019.11.6-1-6

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 mm in this varieties is of continuum cardinality for every finite rank m>1m>1.
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