English

Sets of Completely Decomposed Primes in Extensions of Number Fields

Number Theory 2015-12-08 v1

Abstract

We introduce the notion of saturated sets of primes of an algebraic number field and prove an analogue of Riemann's existence theorem for the decomposition groups of infinite stably saturated sets of primes.

Keywords

Cite

@article{arxiv.1512.01694,
  title  = {Sets of Completely Decomposed Primes in Extensions of Number Fields},
  author = {Kay Wingberg},
  journal= {arXiv preprint arXiv:1512.01694},
  year   = {2015}
}

Comments

18 pages