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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 133–138
(Mi timm554)
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This article is cited in 1 scientific paper (total in 1 paper)
On the difference of the Burnside groups $B(2;5)$ and $B_0(2;5)$
A. A. Kuznetsova, A. K. Shlepkinb a M. F. Reshetnev Siberian State Aerospace University
b Krasnoyarsk State Agricultural University
Abstract:
An algorithm for calculating elements and relations in Burnside groups is described. A comparative analysis of the groups $B(2;5)$ and $B_0(2;5)$ is carried out. It is shown that these groups coincide in the minimal word format up to words of length 29. For lengths of 30–35, relations are found in the group $B_0(2;5)$ such that a violation of at least one of them in $B(2;5)$ would mean the infinity of this group.
Keywords:
Burnside problem.
Received: 25.01.2010
Citation:
A. A. Kuznetsov, A. K. Shlepkin, “On the difference of the Burnside groups $B(2;5)$ and $B_0(2;5)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 133–138
Linking options:
https://www.mathnet.ru/eng/timm554 https://www.mathnet.ru/eng/timm/v16/i2/p133
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Abstract page: | 398 | Full-text PDF : | 106 | References: | 57 | First page: | 10 |
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