Normal Subgroups in Free Burnside Groups of Odd Period

Varujan Atabekyan

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Title: Normal Subgroups in Free Burnside Groups of Odd Period

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1829-1163

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

Coverage:

25-29

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

Date created:

2008-10-01

Format:

pdf

Identifier:

oai:arar.sci.am:13204

General note:

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

Object collections:

Digital Library > Articles

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

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https://arar.sci.am/publication/14893

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Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

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Normal Subgroups in Free Burnside Groups of Odd Period	Apr 19, 2024

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Title: Normal Subgroups in Free Burnside Groups of Odd Period

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