Reductions of multiplicative subgroups of algebraic number fields

Speaker:

Abtien Javanpeykar

Affiliation:

Leiden/MPIM

Date:

Wed, 19/10/2016 - 14:15 - 15:15

Location:

MPIM Lecture Hall [2]

Parent event:

Number theory lunch seminar [3]

In 1965/66 Hasse calculated the density of the set of primes modulo which a given rational number
has odd order. In this talk we extend his work by considering reductions of finitely generated
multiplicative subgroups of algebraic number fields. Our main tool is a result on Galois groups of
infinite radical extensions.