On finite layers of Zl-extensions and K2

Soogil Seo

doi:10.1016/j.jnt.2014.05.005

On finite layers of Z_l-extensions and _K2

Soogil Seo

Department of Mathematics

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

2 Citations (Scopus)

Abstract

Let F denote a number field. We study a relation between the subgroup of elements whose lth roots generate extensions of F which are contained in a Zl-extension of F and a certain kernel of Milnor's K-group defined by Tate. We prove that both groups can be described in terms of a norm compatible sequence over the cyclotomic Zl-extension of F.

Original language	English
Pages (from-to)	153-180
Number of pages	28
Journal	Journal of Number Theory
Volume	145
DOIs	https://doi.org/10.1016/j.jnt.2014.05.005
Publication status	Published - 2014 Dec

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2014.05.005

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abstract = "Let F denote a number field. We study a relation between the subgroup of elements whose lth roots generate extensions of F which are contained in a Zl-extension of F and a certain kernel of Milnor's K-group defined by Tate. We prove that both groups can be described in terms of a norm compatible sequence over the cyclotomic Zl-extension of F.",

author = "Soogil Seo",

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ER -

On finite layers of Z_l-extensions and _K2

Abstract

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