Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian
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 $m > 1$.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2019-05-01
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| Series: | Armenian Journal of Mathematics |
| Subjects: | |
| Online Access: | http://www.armjmath.sci.am/index.php/ajm/article/view/281 |
| Summary: | 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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| ISSN: | 1829-1163 |