C. Kofinas

activity

20092026

collaborators

8 papers

math.GR2026

Presentations of Lower-Triangular Subgroups of $Aut (F_{n})$

C. E. Kofinas

Let $F_{n}$ be the free group of rank $n \geq 2$ with basis $x_{1}, \dots, x_{n}$ . For $1 \leq j < i \leq n$ , let $d_{i, j}$ and $e_{i, j}$ be the automorphisms of $F_{n}$ defined by $d_{i,j}(x_i)=…

math.GR2026

The Lower Central Series of Right Lower-Triangular Nielsen Automorphism Groups

C. E. Kofinas

Let $F_{n}$ be a free group of rank $n \geq 3$ , freely generated by $x_{1}, \dots, x_{n}$ . For $1 \leq j < i \leq n$ , let $d_{i, j}$ denote the Nielsen automorphism of $F_{n}$ defined by $d_{i,j}(…

math.RA2026

Tame Automorphisms of Free Nilpotent Lie Algebras of Countably Infinite Rank

C. E. Kofinas

Let $L_{\infty}$ be a free Lie algebra of countably infinite rank over a field of characteristic $0$ and let $L_{\infty, c}$ be the free nilpotent Lie algebra of countably infinite…

math.GR2026

Automorphisms of a Free Centre-by-Centre-by-Metabelian Group of Rank 3

C. E. Kofinas

Let $F_{3}$ be the free group of rank $3$ and let $G_{3} = F_{3} / [F_{3}^{''}, F_{3}, F_{3}]$ , that is, $G_{3}$ is a free centre-by-centre-by-metabelian group of rank $3$ .…

math.GR2022

On automorphisms of certain free nilpotent-by-abelian Lie algebras

C. E. Kofinas, A. I. Papistas

For a positive integer $n$ , with $n \geq 4$ , let $R_{n}$ be a free (nilpotent of class 2)-by-abelian and abelian-by-(nilpotent of class 2) Lie algebra of rank $n$ . We show that the…

math.GR2020

Quotient groups of IA-automorphisms of free metabelian groups

C. E. Kofinas, A. I. Papistas

For a positive integer $n$ , with $n \geq 2$ , let $M_{n}$ be a free metabelian group of rank $n$ . For $c \in N$ , let $γ_{c} (M_{n})$ be the $c$ -th term of the lower central series…

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.GR2009

Relatively free nilpotent torsion-free groups and their Lie algebras

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

For a torsion free finitely generated nilpotent group G we naturally associate four finite dimensional nilpotent Lie algebras over a field of characteristic zero. We show that if G…

Presentations of Lower-Triangular Subgroups of Aut(Fn​)

The Lower Central Series of Right Lower-Triangular Nielsen Automorphism Groups

Tame Automorphisms of Free Nilpotent Lie Algebras of Countably Infinite Rank

Automorphisms of a Free Centre-by-Centre-by-Metabelian Group of Rank 3

On automorphisms of certain free nilpotent-by-abelian Lie algebras

Quotient groups of IA-automorphisms of free metabelian groups

IA-automorphisms and Lie Algebras related to the McCool group

Relatively free nilpotent torsion-free groups and their Lie algebras

Presentations of Lower-Triangular Subgroups of $Aut (F_{n})$