On Multiplicative Galois Structure Invariants
Copyright policy )On Multiplicative Galois Structure Invariants
It is shown that work of Fröhlich on an integral version of the Stark-Tate regulator represents approximations to a conjecture of Chinburg on a multiplicative Galois structure invariant. Taken in conjunction with recent work of Snaith on the additive Chinburg invariants, it follows that all the conjectures of Chinburg hold in two special types of abelian extensions of \(\mathbb{Q}\).
number field, Integral representations related to algebraic numbers; Galois module structure of rings of integers, abelian extensions, multiplicative Galois structure invariant, additive Chinburg invariants
number field, Integral representations related to algebraic numbers; Galois module structure of rings of integers, abelian extensions, multiplicative Galois structure invariant, additive Chinburg invariants
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