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Proceedings of the YSU, Physical and Mathematical Sciences, 2010, Issue 2, Pages 58–62
(Mi uzeru217)
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This article is cited in 1 scientific paper (total in 1 paper)
Communications
Mathematics
Independent pairs in free Burnside groups
A. S. Pahlevanyan Chair of Algebra and Geometry YSU, Armenia
Abstract:
In this work we prove that for an arbitrary odd $n\geq1003$ there exist two words $u(x,y), v(x,y)$, almost every images of which in free Burnside group $B(m,n)$ are independent.
Keywords:
free Burnside group, independent element, non-amenable group, monomorphism.
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Received: 18.02.2010 Accepted:31.03.2010
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Citation:
A. S. Pahlevanyan, “Independent pairs in free Burnside groups”, Proceedings of the YSU, Physical and Mathematical Sciences, 2010, no. 2, 58–62
Citation in format AMSBIB
\Bibitem{Pah10}
\by A.~S.~Pahlevanyan
\paper Independent pairs in free Burnside groups
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2010
\issue 2
\pages 58--62
\mathnet{http://mi.mathnet.ru/uzeru217}
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http://mi.mathnet.ru/eng/uzeru217 http://mi.mathnet.ru/eng/uzeru/y2010/i2/p58
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Proc. Steklov Inst. Math., 274 (2011), 9–24
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