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On Modified Circular Units and Annihilation of real Classes

Published online by Cambridge University Press:  11 January 2016

Jean-Robert Belliard  and
Thống Nguyễn-Quang-Ðỗ
Jean-Robert Belliard
Affiliation:
Université de Franche-Comté, UMR 6623, 16, route de Gray, 25030 Besançon cedex, France, [email protected]
Thống Nguyễn-Quang-Ðỗ
Affiliation:
Université de Franche-Comté, UMR 6623, 16, route de Gray, 25030 Besançon cedex, France, [email protected]
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Abstract

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For an abelian totally real number field F and an odd prime number p which splits totally in F, we present a functorial approach to special “p-units” previously built by D. Solomon using “wild” Euler systems. This allows us to prove a conjecture of Solomon on the annihilation of the p-class group of F (in the particular context here), as well as related annihilation results and index formulae.

Keywords

11R2311R1811R20
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 177 , 2005 , pp. 77 - 115
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

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