Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
Normal Subgroups in Free Burnside Groups of Odd Period
Creator:
Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Group theory and generalizations
Coverage:
Abstract:
In the current paper we announce a positive answer for all prime numbers n > 997 to the following problem set by Adian in Kourovka Notebook: Is it true that all proper normal subgroups of the group B(m, n) of prime period n > 665 are not free periodic groups? The current result also strengthens a similar result of Olshanskiy for sufficiently large odd numbers n (n > 10^77).
Publisher:
National Academy of Sciences of Armenia
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General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia
Digitization:
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան