Abstract

For each finite solvable group G, there is a minimal positive integer ram(G) (resp. ram^t(G)) such that G appears as the Galois group of an extension of Q (resp. a tamely ramified extension of Q) ramified at only ram(G) (resp. ram^t(G)) finite primes. We obtain bounds for ram(G) and ram^t(G), where G is either a nilpotent group of odd order or a generalized dihedral group.

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