1 citations · 2 across the 5 of their papers we have counts for
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The Basilica group of the Grigorchuk-Erschler group
Karthika Rajeev, Anitha Thillaisundaram
Francoeur and Garrido recently provided the first explicit examples of finitely generated branch groups with maximal subgroups of infinite index, where one of their examples is the…
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,...,…