Decomposition types in minimally tamely ramified extensions of ℚ

Research in Number Theory（2017）

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摘要

We examine whether it is possible to realize finite groups G as Galois groups of minimally tamely ramified extensions of ℚ and also specify both the inertia groups and the further decomposition of the ramified primes.

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关键词

Splitting,Inertia,Decomposition,Primes in tamely ramified extensions,Cyclotomic fields

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