On first layers of ℤp-extensions

Soogil Seo

doi:10.1016/j.jnt.2013.05.017

On first layers of ℤp-extensions

Soogil Seo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

For any number field k, we show that the elements which generate the first layers of arbitrary Z{double-struck}_p-extensions can be characterized by means of a certain norm compatibility property that is defined with respect to the cyclotomic Z{double-struck}_p-extension of k.

Original language	English
Pages (from-to)	4010-4023
Number of pages	14
Journal	Journal of Number Theory
Volume	133
Issue number	12
DOIs	https://doi.org/10.1016/j.jnt.2013.05.017
Publication status	Published - 2013 Dec

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2013.05.017

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title = "On first layers of ℤp-extensions",

abstract = "For any number field k, we show that the elements which generate the first layers of arbitrary Z{double-struck}p-extensions can be characterized by means of a certain norm compatibility property that is defined with respect to the cyclotomic Z{double-struck}p-extension of k.",

author = "Soogil Seo",

year = "2013",

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AB - For any number field k, we show that the elements which generate the first layers of arbitrary Z{double-struck}p-extensions can be characterized by means of a certain norm compatibility property that is defined with respect to the cyclotomic Z{double-struck}p-extension of k.

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JO - Journal of Number Theory

JF - Journal of Number Theory

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ER -

On first layers of ℤp-extensions

Abstract

All Science Journal Classification (ASJC) codes

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