1 citations · 2 across the 4 of their papers we have counts for
11 papers
Conjugacy classes of polyspinal groups
Jan Moritz Petschick, Anitha Thillaisundaram
Spinal groups and multi-GGS groups are both generalisations of the well-known Grigorchuk-Gupta-Sidki (GGS-)groups. Here we give a necessary condition for spinal groups to be conjug…
Ramification structures for quotients of the Grigorchuk groups
Marialaura Noce, Anitha Thillaisundaram
Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification…
The finitely generated Hausdorff spectra of a family of pro- groups
Iker de las Heras, Anitha Thillaisundaram
Recently the first example of a family of pro- groups, for a prime, with full normal Hausdorff spectrum was constructed. In this paper we further investigate this family by…
-Basilica groups
Elena Di Domenico, Gustavo A. Fernández-Alcober, Marialaura Noce +1
We consider a generalisation of the Basilica group to all odd primes: the -Basilica groups acting on the -adic tree. We show that the -Basilica groups have the -congrue…
Word problems for finite nilpotent groups
Rachel D. Camina, Ainhoa Iniguez, Anitha Thillaisundaram
Let be a word in variables. For a finite nilpotent group , a conjecture of Amit states that , where is the number of -tuples $(g_1,...,…
Hausdorff dimension of the second Grigorchuk group
Marialaura Noce, Anitha Thillaisundaram
We show that the Hausdorff dimension of the closure of the second Grigorchuk group is 43/128. Furthermore we establish that the second Grigorchuk group is super strongly fractal an…