English

On the uniqueness of the smallest embedding cover

Group Theory 2025-09-17 v1

Abstract

Using group theoretic methods only, we prove the uniqueness of the smallest embedding cover of a profinite group, Problem 36.2.25 of Field Arithmetic, 4th edition.

Keywords

Cite

@article{arxiv.2509.12766,
  title  = {On the uniqueness of the smallest embedding cover},
  author = {Dan Haran},
  journal= {arXiv preprint arXiv:2509.12766},
  year   = {2025}
}