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On the minimal number
of ramified primes in some solvable extensions of
ℚ
Bernat Plans |
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Vol. 215 (2004), No. 2, 381–391
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Abstract |
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For each finite solvable group G, there is a minimal positive integer ram(G) (resp. ramt(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. ramt(G)) finite primes. We obtain bounds for ram(G) and ramt(G), where G is either a nilpotent group of odd order or a generalized dihedral group. |
Milestones
Received: 30 June 2003
Revised: 25 September 2003
Published: 1 June 2004
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Authors |
| Bernat Plans | |
| Dept. de Matemàtica Aplicada I Universitat Politècnica de Catalunya Av. Diagonal, 647 08028 Barcelona Spain |
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