Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian
Armenian Journal of Mathematics
View Publication Info| Field | Value | |
| Title |
Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian
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| Creator |
Aslanyan, Hayk T.
Gevorgyan, Amirjan L. Grigoryan, Hayk A. |
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| Subject |
infinitely based variety
torsion-free groups free Burnside group 20F50 20F05 |
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| Description |
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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| Publisher |
National Academy of Sciences of Armenia
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| Date |
2019-05-08
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| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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| Format |
application/pdf
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| Identifier |
http://armjmath.sci.am/index.php/ajm/article/view/281
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| Source |
Armenian Journal of Mathematics; Vol. 11 No. 6 (2019): Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian; 1-6
1829-1163 |
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| Language |
eng
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| Relation |
http://armjmath.sci.am/index.php/ajm/article/view/281/147
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| Rights |
Copyright (c) 2019 Armenian Journal of Mathematics
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