Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
Finite subgroups of the free groups of the infinitely based varieties of S.I. Adian
Creator:
Hayk T. Aslanyan ; Amirjan L. Gevorgyan ; Hayk A. Grigoryan
Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Group theory and generalizations
Uncontrolled Keywords:
infinitely based variety ; torsion-free groups ; free Burnside group
Coverage:
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
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Format:
General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia
Digitization:
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան