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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 3, Pages 68–75
(Mi sjim625)
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This article is cited in 3 scientific papers (total in 3 papers)
On an involutive automorphism of the Burnside group $B_0(2,5)$
A. A. Kuznetsova, K. A. Filippovb a Siberian State Air and Space University, Krasnoyarsk, RUSSIA
b Krasnoyarsk State University of Agriculture, Krasnoyarsk, RUSSIA
Abstract:
We study the centralizer of the involutive automorphism of the Burnside group $B_0(2,5)$ taking the generators of $B_0(2,5)$ to their inverses. We find generators for the centralizer and compute its order, solvability length, and nilpotency length.
Keywords:
Burnside problem.
Received: 06.09.2009
Citation:
A. A. Kuznetsov, K. A. Filippov, “On an involutive automorphism of the Burnside group $B_0(2,5)$”, Sib. Zh. Ind. Mat., 13:3 (2010), 68–75
Linking options:
https://www.mathnet.ru/eng/sjim625 https://www.mathnet.ru/eng/sjim/v13/i3/p68
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Abstract page: | 363 | Full-text PDF : | 98 | References: | 60 | First page: | 5 |
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