Armenian Journal of Mathematics, 11(6)
ISSN 1829-1163
2022; 1–6
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Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian

Received: 2024-12-10 · Published: 2022-09-15

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Originally published in Armenian Journal of Mathematics, 11(6), 2022 — https://doi.org/10.52737/18291163-2019.11.6-1-6.

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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