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PreprintarXiv licencearXiv

Virtually generating graphs of pro-p groups

  • Yiftach Barnea
  • Andrea Lucchini
  • Margherita Piccolo
  • Matteo Vannacci
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Abstract

We study the virtually generating graph of pro-p groups. We show that various classes of pro-p groups have connected virtually generating graph and we bound its diameter in these cases; e.g.\ compact subgroups of analytic groups over local fields and the Nottingham group.

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Cite

BibTeXRIS
BibTeX
@misc{barnea2026virtually,
  title = {{Virtually generating graphs of pro-$p$ groups}},
  author = {Yiftach Barnea and Andrea Lucchini and Margherita Piccolo and Matteo Vannacci},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06650},
  eprint = {2609.06650},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06650},
}
RIS
TY  - UNPB
TI  - Virtually generating graphs of pro-p groups
AU  - Yiftach Barnea
AU  - Andrea Lucchini
AU  - Margherita Piccolo
AU  - Matteo Vannacci
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.06650
UR  - https://arxiv.org/abs/2609.06650
AB  - We study the virtually generating graph of pro-p groups. We show that various classes of pro-p groups have connected virtually generating graph and we bound its diameter in these cases; e.g.\ compact subgroups of analytic groups over local fields and the Nottingham group.
ER  -