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Reductions of multiplicative subgroups of algebraic number fields

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Speaker: 
Abtien Javanpeykar
Affiliation: 
Leiden/MPIM
Date: 
Wed, 19/10/2016 - 14:15 - 15:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

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.

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