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Decomposition types in minimally tamely ramified extensions of \(\mathbb Q\). (English) Zbl 1427.12003

Summary: We examine whether it is possible to realize finite groups \(G\) as Galois groups of minimally tamely ramified extensions of \(\mathbb {Q}\) and also specify both the inertia groups and the further decomposition of the ramified primes.

MSC:

12F12 Inverse Galois theory
11R18 Cyclotomic extensions
11S15 Ramification and extension theory

Software:

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References:

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