Sets of Completely Decomposed Primes in Extensions of Number Fields

2015/12/05 by Kay Wingberg, Wingberg, Kay
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1512.01694

18 pages

arxiv created 2015/12/05 · arxiv updated 2015/12/08

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.

Related

• Corestricted Free Products of Profinite Groups
• Densities of primes and realization of local extensions
• On additive and multiplicative decompositions of sets of integers with restricted prime factors, I. (Smooth numbers.)
• On the set of stable primes for postcritically infinite maps over number fields
• The ring of finite algebraic numbers and its application to the law of decomposition of primes