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On the Galois structure of the square root of the codifferent

D. Burns — 1991

Journal de théorie des nombres de Bordeaux

Let L be a finite abelian extension of , with 𝒪 L the ring of algebraic integers of L . We investigate the Galois structure of the unique fractional 𝒪 L -ideal which (if it exists) is unimodular with respect to the trace form of L / .

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