Abelian subgroup separability of some one-relator groups
D. Tieudjo1
Received29 Aug 2004
Revised11 Jun 2005
Abstract
We prove that any group in the class of one-relator groups given
by the presentation 〈a,b;[am,bn]=1〉, where m
and n are integers greater than 1, is cyclic subgroup separable
(or πc). 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.