4 papers
On the Frobenius number for three variables
Peter Suhajda, Anitha Thillaisundaram
For positive integers , , and which have no common divisor, the Frobenius number of , and is defined to be the largest integer that cannot be expressed as a li…
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…
On the Hausdorff spectra of free pro- groups and certain -adic analytic groups
Iker de las Heras, Benjamin Klopsch, Anitha Thillaisundaram
We establish that finitely generated non-abelian direct products of free pro- groups have full Hausdorff spectrum with respect to the lower -series . This co…
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 greater than 3 with fixed topologic…