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PreprintarXiv licencearXiv

Infinite free pro-p products as absolute Galois groups

  • Tamar Bar-On
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Abstract

In this paper we prove a generalized version of Mel'nikov's Criterion, which has also been proved by Haran, and use it in order to connect the realization as absolute Galois groups of free pronite and free pro-p products of a sheaf of pro-p groups.

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Cite

BibTeXRIS
BibTeX
@misc{baron2026infinite,
  title = {{Infinite free pro-p products as absolute Galois groups}},
  author = {Tamar Bar-On},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01966},
  eprint = {2610.01966},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01966},
}
RIS
TY  - UNPB
TI  - Infinite free pro-p products as absolute Galois groups
AU  - Tamar Bar-On
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.01966
UR  - https://arxiv.org/abs/2610.01966
AB  - In this paper we prove a generalized version of Mel'nikov's Criterion, which has also been proved by Haran, and use it in order to connect the realization as absolute Galois groups of free pronite and free pro-p products of a sheaf of pro-p groups.
ER  -