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RAMIFICATION IN KUMMER EXTENSIONS ARISING FROM ALGEBRAIC TORI

Part of: Algebraic number theory: local and $p$-adic fields

Published online by Cambridge University Press:  17 August 2017

MASAMITSU SHIMAKURA Open the ORCID record for MASAMITSU SHIMAKURA [Opens in a new window]
MASAMITSU SHIMAKURA*
Affiliation:
Department of Mathematics, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku, Tokyo, 162-8601, Japan email [email protected]
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Abstract

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We describe the ramification in cyclic extensions arising from the Kummer theory of the Weil restriction of the multiplicative group. This generalises the classical theory of Hecke describing the ramification of Kummer extensions.

Keywords

local fieldramificationalgebraic tori

MSC classification

Primary: 11S15: Ramification and extension theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 96 , Issue 2 , October 2017 , pp. 196 - 204
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

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