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Torsion elements in branch pro-p groups

Fariña-Asategui, Jorge LU and Radi, Santiago (2025) In Journal of Algebra and Its Applications
Abstract

In this paper, we show that the set of torsion elements of a topological group admitting a branch pro-p quotient has Haar measure zero.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
in press
subject
keywords
branch groups, Haar measure, pro-p groups, Torsion elements
in
Journal of Algebra and Its Applications
article number
2650288
publisher
World Scientific Publishing
external identifiers
  • scopus:105010202218
ISSN
0219-4988
DOI
10.1142/S0219498826502889
language
English
LU publication?
yes
id
00b1787d-eee8-4d39-b038-774d315b1d05
date added to LUP
2026-01-14 14:48:56
date last changed
2026-01-14 14:49:10
@article{00b1787d-eee8-4d39-b038-774d315b1d05,
  abstract     = {{<p>In this paper, we show that the set of torsion elements of a topological group admitting a branch pro-p quotient has Haar measure zero.</p>}},
  author       = {{Fariña-Asategui, Jorge and Radi, Santiago}},
  issn         = {{0219-4988}},
  keywords     = {{branch groups; Haar measure; pro-p groups; Torsion elements}},
  language     = {{eng}},
  publisher    = {{World Scientific Publishing}},
  series       = {{Journal of Algebra and Its Applications}},
  title        = {{Torsion elements in branch pro-p groups}},
  url          = {{http://dx.doi.org/10.1142/S0219498826502889}},
  doi          = {{10.1142/S0219498826502889}},
  year         = {{2025}},
}