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Explicit local reciprocity for tame extensions

Published online by Cambridge University Press:  21 December 2011

RACHEL NEWTON
RACHEL NEWTON*
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA. e-mail: rdn21@cam.ac.uk
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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

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References

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