A. C. Dantas

activity

20152021

most citedOn state-closed representations of restricted wreath product of groups of type G_{p,d}=C_{p}wrC^{d}

5 citations · 5 across the 3 of their papers we have counts for

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6 papers · 1 filter

math.GR2021

Self-similar abelian groups and their centralizers

Alex C. Dantas, Tulio M. G. Santos, Said N. Sidki

We extend results on transitive self-similar abelian subgroups of the group of automorphisms $A_{m}$ of an $m$ -ary tree $T_{m}$ in \cite{BS}, to the general case wh…

math.GR2020

Intransitive Self-similar Groups

Alex C. Dantas, Tulio M. G. Santos, Said N. Sidki

A group is said to be self-similar provided it admits a faithful state-closed representation on some regular $m$ -tree and the group is said to be transitive self-similar provided a…

math.GR2019

Soluble Groups with few orbits under automorphisms

Raimundo Bastos, Alex Carrazedo Dantas, Emerson de Melo

Let $G$ be a group. The orbits of the natural action of Aut $(G)$ on $G$ are called ``automorphism orbits'' of $G$ , and the number of automorphism orbits of $G$ is denoted by $ω (G)$ …

math.GR2019

Exponent of Self-similar finite $p$ -groups

Alex Carrazedo Dantas, Emerson de Melo

Let $p$ be a prime and $G$ a pro- $p$ group of finite rank that admits a faithful, self-similar action on the $p$ -ary rooted tree. We prove that if the set $\{g\in G \ | \ g^{p^n}=1…

math.GR2018

FC-groups with finitely many automorphism orbits

Raimundo A. Bastos, Alex C. Dantas

Let $G$ be a group. The orbits of the natural action of $A u t (G)$ on $G$ are called "automorphism orbits" of $G$ , and the number of automorphism orbits of $G$ is denoted by $ω (G)$ .…

math.GR2015★ 5 cited

On state-closed representations of restricted wreath product of groups of type G_{p,d}=C_{p}wrC^{d}

Alex C. Dantas, Said N. Sidki

Let $G_{p, d}$ be the restricted wreath product $C_{p} w r C^{d}$ where $C_{p}$ is a cyclic group of order a prime $p$ and $C^{d}$ a free abelian group of finite rank $d$ . We study t…