Torsion elements in branch pro-p groups

2024/07/01 by Jorge Fariña-Asategui, Fariña-Asategui, Jorge, Santiago Radi +1 · 2 citations
Engineering · Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2407.01746

openalex publication_date 2024/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Cited by

• On probabilistic identities and coset identities in pro-p groups
• A just-infinite iterated monodromy group without the congruence subgroup property

Related

• Torsion elements of the Nottingham group of order p² and type ⟨ 2, m ⟩
• Addendum: Virtually Free pro-p groups whose Torsion Elements have finite Centralizer
• Torsion growth in finitely presented pro-p groups
• L²-Torsion and Bounded Measure Equivalence of Groups
• Torsion in the 0-cycle group with modulus