English

Fields with almost small absolute Galois group

Commutative Algebra 2014-04-15 v1 Logic

Abstract

We construct and study fields F with the property that F has infinitely many extensions of some fixed degree, but E*/(E*)^n is finite for every finite extension E of F and every n>0.

Keywords

Cite

@article{arxiv.1404.3343,
  title  = {Fields with almost small absolute Galois group},
  author = {Arno Fehm and Franziska Jahnke},
  journal= {arXiv preprint arXiv:1404.3343},
  year   = {2014}
}

Comments

9 pages

R2 v1 2026-06-22T03:49:29.711Z