Remark on the minimum discriminant of normal fields
Juraj Kostra (1989)
Czechoslovak Mathematical Journal
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Juraj Kostra (1989)
Czechoslovak Mathematical Journal
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Kiyoaki Iimura (1984)
Acta Arithmetica
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James Carter (1999)
Colloquium Mathematicae
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Let p be an odd prime and let c be an integer such that c>1 and c divides p-1. Let G be a metacyclic group of order pc and let k be a field such that pc is prime to the characteristic of k. Assume that k contains a primitive pcth root of unity. We first characterize the normal extensions L/k with Galois group isomorphic to G when p and c satisfy a certain condition. Then we apply our characterization to the case in which k is an algebraic number field with ring of integers ℴ, and,...
John Myron Masley (1976)
Compositio Mathematica
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Jan Śliwa (1982)
Acta Arithmetica
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Clifford Queen (1974)
Acta Arithmetica
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Andrzej Schinzel (1966)
Acta Arithmetica
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