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Abstract In this paper we prove that certain generalized free products of abelian subgroup separable groups, amalgamating an infinite cyclic subgroup, are abelian subgroup separable. Applying this, we derive that… Click to show full abstract
Abstract In this paper we prove that certain generalized free products of abelian subgroup separable groups, amalgamating an infinite cyclic subgroup, are abelian subgroup separable. Applying this, we derive that tree products of free groups or finitely generated nilpotent groups, amalgamating infinite cyclic subgroups, are abelian subgroup separable.
Keywords:
subgroup;
products free;
free products;
certain generalized;
abelian subgroup;
generalized free
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!