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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- 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…
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 greater than 3 with fixed topologic…