A combinatorial property of Burnside variety of groups of finite exponent

A. Faramarzi Salles , H. Khosravy
Journal of Algebra and Its Applications, Vol. 8, No. 6 - , 8, 845-853 - January, 2009 - .
Publication year: 2009
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ABSTRACT: In this note, we prove that, in every finitely generated soluble group G, G/Z2(G) is finite if and only if in every infinite subset X of G there exist dif- ferent x, y such that (x, y, y) = 1.
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