18 citations · 31 across the 15 of their papers we have counts for
21 papers
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…
The Amit-Ashurst conjecture for finite metacyclic p-groups
Rachel D. Camina, William Cocke, Anitha Thillaisundaram
The Amit conjecture about word maps on finite nilpotent groups has been shown to hold for certain classes of groups. The generalised Amit conjecture says that the probability of an…
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…
Maximal subgroups of a family of iterated monodromy groups
Karthika Rajeev, Anitha Thillaisundaram
The Basilica group is a well-known 2-generated weakly branch, but not branch, group acting on the binary rooted tree. Recently a more general form of the Basilica group has been in…
Ramification structures for quotients of multi-EGS groups
Elena Di Domenico, Şükran Gül, 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,...,…
Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups
Dominik Francoeur, Anitha Thillaisundaram
A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the -adic tree for an odd prime , generated by one rooted automorphism and one directed automo…
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…
The profinite completion of multi-EGS groups
Anitha Thillaisundaram, Jone Uria-Albizuri
The class of multi-EGS groups is a generalisation of the well-known Grigorchuk-Gupta-Sidki (GGS-)groups. Here we classify branch multi-EGS groups with the congruence subgroup prope…
Generating pairs of projective special linear groups that fail to lift
Jan Boschheidgen, Benjamin Klopsch, Anitha Thillaisundaram
The following problem was originally posed by B.H. Neumann and H. Neumann. Suppose that a group can be generated by elements and that is a homomorphic image of . Doe…
Normal Hausdorff spectra of pro-2 groups
Anitha Thillaisundaram
Klopsch and the author have constructed a finitely generated pro-p group G, for p an odd prime, with infinite normal Hausdorff spectrum with respect to the p-power series. They sho…
A pro-p group with infinite normal Hausdorff spectra
Benjamin Klopsch, Anitha Thillaisundaram
Using wreath products, we construct a finitely generated pro-p group G with infinite normal Hausdorff spectrum with respect to the p-power series. More precisely, we show that this…
Maximal subgroups and irreducible representations of generalised multi-edge spinal groups
Benjamin Klopsch, Anitha Thillaisundaram
Let be a prime. A generalised multi-edge spinal group is a subgroup of the automorphism group of a regular -adic rooted tree T that is generated by one rooted automorph…
A note on automorphisms of finite -groups
Gustavo A. Fernández-Alcober, Anitha Thillaisundaram
Let be a finite non-cyclic -group of order at least . If has an abelian maximal subgroup, or if has an elementary abelian centre with , t…
Maximal subgroups of multi-edge spinal groups
Theofanis Alexoudas, Benjamin Klopsch, Anitha Thillaisundaram
A multi-edge spinal group is a subgroup of the automorphism group of a regular p-adic rooted tree, generated by one rooted automorphism and a finite number of directed automorphism…
Conciseness of coprime commutators in finite groups
Cristina Acciarri, Pavel Shumyatsky, Anitha Thillaisundaram
Let be a finite group. We show that the order of the subgroup generated by coprime -commutators (respectively -commutators) is bounded in terms of the size of the set…
The Automorphism Group of p-Central p-Groups
Anitha Thillaisundaram
A p-group G is p-central if the central quotient has exponent p. We prove that for a subset of finite p-central p-groups, the order of the group G divides the order of Aut(G).
Groups of p-deficiency one
Anitha Thillaisundaram
The main result of [4] is that all finitely presented groups of p-deficiency greater than one are p-large. Here we prove that groups with a finite presentation of p-deficiency one…