Torsion elements in branch pro-$p$ groups

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arxiv 2407.01746 v1 pith:LFFIBDGF submitted 2024-07-01 math.GR

Jorge Fariña-Asategui , Santiago Radi This is my paper · ORCID

classification math.GR

keywords branchelementspro-torsionadmittinggroupgroupshaar

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abstract

We show that the set of torsion elements of a topological group admitting a branch pro-$p$ quotient has Haar measure zero.

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A just-infinite iterated monodromy group without the congruence subgroup property
math.GR 2025-05 conditional novelty 7.0 of 10

The iterated monodromy group of z^2+i is just-infinite and fails the congruence subgroup property, with maximal branching subgroup abelianization C_4^5.