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Currently displaying 1 – 2 of 2

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Steinitz classes of nonabelian extensions of degree p³

James E. Carter — 1997

Acta Arithmetica

Some remarks on Hilbert-Speiser and Leopoldt fields of given type

James E. Carter — 2007

Colloquium Mathematicae

Let p be a rational prime, G a group of order p, and K a number field containing a primitive pth root of unity. We show that every tamely ramified Galois extension of K with Galois group isomorphic to G has a normal integral basis if and only if for every Galois extension L/K with Galois group isomorphic to G, the ring of integers $O_{L}$ in L is free as a module over the associated order $_{L / K}$ . We also give examples, some of which show that this result can still hold without the assumption that K contains...

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