Abelian subgroup separability of some one-relator groups

D. Tieudjo

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-12

Abstract:

We prove that any group in the class of one-relator groups given by the presentation 〈 a , b ; [ a m , b n ] = 1 〉 , where m and n are integers greater than 1, is cyclic subgroup separable (or π c ). We establish some suitable properties of these groups which enable us to prove that every finitely generated abelian subgroup of any of such groups is finitely separable.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:298167

DOI: 10.1155/IJMMS.2005.2287

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