1 citations · 1 across the 4 of their papers we have counts for
4 papers
On finite groups with the Magnus Property
Martino Garonzi, Claude Marion
We investigate finite groups with the Magnus Property, where a group is said to have the Magnus Property (MP) if whenever two elements have the same normal closure then they are co…
The pro-supersolvable topology on a free group: deciding denseness
Claude Marion, Pedro V. Silva, Gareth Tracey
Let be a free group of arbitrary rank and let be a finitely generated subgroup of . Given a pseudovariety of finite groups, i.e. a class of finite groups cl…
On the closure of cyclic subgroups of a free group in pro-V topologies
Claude Marion, Pedro V. Silva, Gareth Tracey
We determine the closure of a cyclic subgroup of a free group for the pro-{\bf V} topology when {\bf V} is an extension-closed pseudovariety of finite groups. We show that …
The pro--solvable topology on a free group
Claude Marion, Pedro V. Silva, Gareth Tracey
We prove that, given a finitely generated subgroup of a free group , the following questions are decidable: is closed (dense) in for the pro-(met)abelian topology? i…