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Abstract: The Stickelberger elements attached to an abelian extension of number fieldsconjecturally participate, under certain conditions, in annihilator relationsinvolving higher algebraic K-groups. In Victor P. Snaith, Stark-s conjectureand new Stickelberger phenomena, Canad. J. Math. 58 2 2006 419-448,Snaith introduces canonical Galois modules hoped to appear in annihilatorrelations generalising and improving those involving Stickelberger elements. Inthis paper we study the first of these modules, corresponding to the classicalStickelberger element, and prove a connection with the Stark units in a specialcase.



Author: Paul Buckingham

Source: https://arxiv.org/



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