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 $m > 1$.
National Academy of Sciences of Armenia
oai:arar.sci.am:13328
Armenian Journal of Mathematics
Electronic Open Access Publication of the National Academy of Sciences of Armenia
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան
Jan 25, 2021
Feb 12, 2020
1
https://arar.sci.am/publication/15086
Հրատարակության անուն | Ամսաթիվ |
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Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian | Jan 25, 2021 |
V. S. Atabekyan H. T. Aslanyan A. E. Grigoryan