Anitha Thillaisundaram

activity

20172026

most citedBeauville structures for quotients of generalised GGS-groups

1 citations · 2 across the 10 of their papers we have counts for

collaborators

10 papers

math.NT2026

On the Frobenius number for three variables

Peter Suhajda, Anitha Thillaisundaram

For positive integers $a$ , $b$ , and $c$ which have no common divisor, the Frobenius number of $a$ , $b$ and $c$ is defined to be the largest integer that cannot be expressed as a li…

math.GR2025

Normal subgroups of non-torsion multi-EGS groups

Benjamin Klopsch, Anitha Thillaisundaram

We study the distribution of normal subgroups in non-torsion, regular branch multi-EGS groups and show that the congruence completions of such groups have bounded finite central wi…

math.GR2025

On the Hausdorff spectra of free pro- $p$ groups and certain $p$ -adic analytic groups

Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram

We establish that finitely generated non-abelian direct products $G$ of free pro- $p$ groups have full Hausdorff spectrum with respect to the lower $p$ -series $L$ . This co…

math.GR2025

Varieties isogenous to a higher product with prescribed numerical invariants

Amir Džambić, Anitha Thillaisundaram

Using structural properties of groups of small order, we establish the non-existence of varieties isogenous to a higher product of dimension $n$ greater than 3 with fixed topologic…

math.GR2024

Profinite groups with soluble centralisers

Pavel Shumyatsky, Anitha Thillaisundaram

We show that a profinite group, in which the centralisers of non-trivial elements are metabelian, is either virtually pro- $p$ or virtually soluble of derived length at most 4. We f…

math.GR2024

GGS-groups acting on trees of growing degrees

Rachel Skipper, Anitha Thillaisundaram

We consider analogues of Grigorchuk-Gupta-Sidki (GGS-)groups acting on trees of growing degree; the so-called growing GGS-groups. These groups are not just infinite and do not poss…

math.GR2024

The lower $p$ -series of analytic pro- $p$ groups and Hausdorff dimension

Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram

Let $G$ be a $p$ -adic analytic pro- $p$ group of dimension $d$ . We produce an approximate series which descends regularly in strata and whose terms deviate from the lower $p$ -series…

math.GR2023

Invariable generation of certain branch groups

Charles Garnet Cox, Anitha Thillaisundaram

Let $G$ be a group. Then $S \subseteq G$ is an invariable generating set of $G$ if every subset $S^{'}$ obtained from $S$ by replacing each element with a conjugate is also a generatin…

math.GR2023★ 1 cited

Beauville structures for quotients of generalised GGS-groups

Elena Di Domenico, Şükran Gül, Anitha Thillaisundaram

A finite group with a Beauville structure gives rise to a certain compact complex surface called a Beauville surface. Gül and Uria-Albizuri showed that quotients of the periodic Gr…

math.GR2017★ 1 cited

Hausdorff dimensions in $p$ -adic analytic groups

Benjamin Klopsch, Anitha Thillaisundaram, Amaia Zugadi-Reizabal

Let $G$ be a finitely generated pro- $p$ group, equipped with the $p$ -power series. The associated metric and Hausdorff dimension function give rise to the Hausdorff spectrum, which…

On the Frobenius number for three variables

Normal subgroups of non-torsion multi-EGS groups

On the Hausdorff spectra of free pro-p groups and certain p-adic analytic groups

Varieties isogenous to a higher product with prescribed numerical invariants

Profinite groups with soluble centralisers

GGS-groups acting on trees of growing degrees

The lower p-series of analytic pro-p groups and Hausdorff dimension

Invariable generation of certain branch groups

Beauville structures for quotients of generalised GGS-groups

Hausdorff dimensions in p-adic analytic groups

On the Hausdorff spectra of free pro- $p$ groups and certain $p$ -adic analytic groups

The lower $p$ -series of analytic pro- $p$ groups and Hausdorff dimension

Hausdorff dimensions in $p$ -adic analytic groups