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Explicit local reciprocity for tame extensions
Published online by Cambridge University Press: 21 December 2011
Abstract
We consider a tamely ramified abelian extension of local fields of degree n, without assuming the presence of the nth roots of unity in the base field. We give an explicit formula which computes the local reciprocity map in this situation.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 152 , Issue 3 , May 2012 , pp. 425 - 454
- Copyright
- Copyright © Cambridge Philosophical Society 2011