English

Diamond Theorem for finitely generated Profinite free Group

Number Theory 2009-07-16 v2 Algebraic Geometry Group Theory

Abstract

We extend Haran's Diamond Theorem to closed subgroups of a finitely generated free profinite group. This gives an affirmative answer to Problem 25.4.9 in the book Field Arithmetics of Fried and Jarden.

Keywords

Cite

@article{arxiv.math/0509304,
  title  = {Diamond Theorem for finitely generated Profinite free Group},
  author = {L. Bary-Soroker},
  journal= {arXiv preprint arXiv:math/0509304},
  year   = {2009}
}

Comments

Final version. To appear in Math. Ann