5 citations · 5 across the 2 of their papers we have counts for
3 papers
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 -tree and the group is said to be transitive self-similar provided a…
math.GR2019
Exponent of Self-similar finite -groups
Alex Carrazedo Dantas, Emerson de Melo
Let be a prime and a pro- group of finite rank that admits a faithful, self-similar action on the -ary rooted tree. We prove that if the set $\{g\in G \ | \ g^{p^n}=1…
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 be the restricted wreath product where is a cyclic group of order a prime and a free abelian group of finite rank . We study t…