V. Metaftsis

activity

20062022

most citedOn the residual finiteness of outer automorphisms of relatively hyperbolic groups

2 citations · 6 across the 14 of their papers we have counts for

collaborators

15 papers

math.GR2022

Baumslag-Solitar groups and residual nilpotence

C. E. Kofinas, V. Metaftsis, A. I. Papistas

For a Baumslag-Solitar group $G$ we calculate the intersection $γ_{w} (G)$ of all terms of the lower central sequence of $G$ .Using this we are able to show that $[γ_{w} (G), G] = γ_{w} (G)$ th…

math.RA2021★ 1 cited

The Formanek-Procesi group with base a right-angled Artin group: Residual nilpotence and Lie algebra

V. Metaftsis, A. I. Papistas

We investigate the Lie algebra of the Formanek-Procesi group FP(H) with base group H a right-angled Artin group. We show that the Lie algebra gr(FP(H)) has a presentation that is d…

math.RA2019

IA-automorphisms and Lie Algebras related to the McCool group

C. E. Kofinas, V. Metaftsis, A. I. Papistas

In the present work we investigate a subgroup $I_{n}$ of the McCool group $M_{n}$ . We show that $I_{n}$ has solvable conjugacy problem. Next, we investigate its Lie Algebra gr( $I_{n}$ ) and…

math.GR2017

Quotient groups of IA-automorphisms of a free group of rank 3

V. Metaftsis, A. I. Papistas, H. Sevaslidou

We prove that, for any positive integer $c$ , the quotient group $γ_{c} (M_{3}) / γ_{c + 1} (M_{3})$ of the lower central series of the McCool group $M_{3}$ is isomorphic to two copies of…

math.RA2015★ 1 cited

On the McCool group $M_{3}$ and its associated Lie Algebra

V. Metaftsis, A. I. Papistas

We prove that the Lie Algebra of the McCool group $M_{3}$ is torsion free. As a result we are able to give a presentation for the Lie Algebra of $M_{3}$ . Furthermore, $M_{3}$ is a Magnus…

math.KT2014

On the K-theory of certain extensions of free groups

V. Metaftsis, S. Prassidis

We show that the K-FJCw holds for certain subgroups of Aut( $F_{n}$ ) constructed from Hol( $F_{2}$ ).