Gareth Tracey

activity

20152026

most citedOn the generalized Fitting height and insoluble length of finite groups

6 citations · 17 across the 17 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.GR2023

The pro-supersolvable topology on a free group: deciding denseness

Claude Marion, Pedro V. Silva, Gareth Tracey

Let $F$ be a free group of arbitrary rank and let $H$ be a finitely generated subgroup of $F$ . Given a pseudovariety $V$ of finite groups, i.e. a class of finite groups cl…

math.GR2023

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 $H$ of a free group for the pro-{\bf V} topology when {\bf V} is an extension-closed pseudovariety of finite groups. We show that $H$ …

math.GR2023★ 1 cited

The pro- $k$ -solvable topology on a free group

Claude Marion, Pedro V. Silva, Gareth Tracey

We prove that, given a finitely generated subgroup $H$ of a free group $F$ , the following questions are decidable: is $H$ closed (dense) in $F$ for the pro-(met)abelian topology? i…

math.GR2023

On the pseudovariety of groups $U = p \in P ⋁ Ab (p) * Ab (p - 1)$

Claude Marion, Pedro V. Silva, Gareth Tracey

We introduce the pseudovariety of finite groups $U = p \in P ⋁ Ab (p) * Ab (p - 1)$ , where $P$ is the set of all primes.…

The pro-supersolvable topology on a free group: deciding denseness

On the closure of cyclic subgroups of a free group in pro-V topologies

The pro-k-solvable topology on a free group

On the pseudovariety of groups U=p∈P⋁​Ab(p)∗Ab(p−1)

The pro- $k$ -solvable topology on a free group

On the pseudovariety of groups $U = p \in P ⋁ Ab (p) * Ab (p - 1)$