Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
About groups with property (U)
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Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Group theory and generalizations
Uncontrolled Keywords:
periodical groups ; simple groups ; variety of groups ; (U) property ; Adian-Lysenok groups
Coverage:
Abstract:
In this article we prove that for any odd n \ge 1003 there exist continuum non isomorphic (simple) groups with property (U), whose U- constant satisfies the inequality u(G) < (3n^4)/2. The question of finding infinite groups with property (U) was proposed in the joint work by D.Osin and D.Sonkin.
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General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia
Digitization:
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան