Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian

Hayk T. Aslanyan; Amirjan L. Gevorgyan; Hayk A. Grigoryan

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Title: Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian

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1829-1163

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Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

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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 $m$ in this varieties is of continuum cardinality for every finite rank $m > 1$.

Publisher:

National Academy of Sciences of Armenia

Date created:

2019-05-10

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pdf

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oai:arar.sci.am:13328

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Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Subject and keywords:

Group theory and generalizations infinitely based variety torsion-free groups free Burnside group

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Digital Library > Articles

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

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https://arar.sci.am/publication/15086

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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

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Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian	Apr 19, 2024

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Title: Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian

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