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On commensurations of pro-π’ž groups

  • Pedro Cusinato
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Abstract

We study commensurations of pro-π’ž groups, where π’ž is an extension-closed variety of finite groups. We characterize those commensurations of pro-π’ž groups that can be extended to embeddings into a common overgroup, obtaining a pro-π’ž analog of a recent theorem by Touikan. We also consider obtain a structural result on virtual retracts of pro-π’ž groups.

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Cite

BibTeXRIS
BibTeX
@misc{cusinato2026commensurations,
  title = {{On commensurations of pro-$\mathcalC$ groups}},
  author = {Pedro Cusinato},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01234},
  eprint = {2609.01234},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01234},
}
RIS
TY  - UNPB
TI  - On commensurations of pro-π’ž groups
AU  - Pedro Cusinato
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.01234
UR  - https://arxiv.org/abs/2609.01234
AB  - We study commensurations of pro-π’ž groups, where π’ž is an extension-closed variety of finite groups. We characterize those commensurations of pro-π’ž groups that can be extended to embeddings into a common overgroup, obtaining a pro-π’ž analog of a recent theorem by Touikan. We also consider obtain a structural result on virtual retracts of pro-π’ž groups.
ER  -