Geodesic
Independent pairs in free Burnside groups
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2010), pp. 58-62

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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
Mots-clés : non-amenable group, monomorphism. 
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     title = {Independent pairs in free {Burnside} groups},
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A. S. Pahlevanyan. Independent pairs in free Burnside groups. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2010), pp. 58-62. http://geodesic.mathdoc.fr/item/UZERU_2010_2_a9/