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Relative Galois module structure of quadratic extensions. (English) Zbl 0804.11063

For quadratic extensions of number fields necessary and sufficient conditions are given for the ring of integers in the top field to be free as a module over the associated order in the group algebra of the Galois group over the bottom field. When this module is free, a generator is described.

MSC:

11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers
11R11 Quadratic extensions
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