S.I.Adian的无限基变种的自由群的有限子群

IF 0.5 Q3 MATHEMATICS Armenian Journal of Mathematics Pub Date : 2019-05-08 DOI:10.52737/18291163-2019.11.6-1-6

H. T. Aslanyan, A. Gevorgyan, H. Grigoryan

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引用次数: 2

摘要

证明了S.I. Adian无穷基变体的自由群的所有有限子群都是循环的。对于每一个有限秩$m > 1$，该变种中秩$m$的所有非同构自由群的集合是连续的基数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 $m > 1$.

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