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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive
Proceedings of the YSU, Physical and Mathematical Sciences, 2010 Issue 2, Pages 58–62 (Mi uzeru217)
This article is cited 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.

Received: 18.02.2010
Accepted: 31.03.2010

Language: English


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