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Iwasawa Theory for K2n

Published online by Cambridge University Press:  02 May 2013

Qingzhong Ji  and
Hourong Qin
Qingzhong Ji
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, P.R.Chinaqingzhji@nju.edu.cn
Hourong Qin
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, P.R.Chinahrqin@nju.edu.cn
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Abstract

Given a number field F and a prime number p; let Fn denote the cyclotomic extension with [Fn : F] = pn; and let denote its ring of integers. We establish an analogue of the classical Iwasawa theorem for the orders of K2i (){p}.

Keywords

Higher K-groupsℤp-extensionIwasawa theory11R1811R2311R7019F27

Information

Type
Research Article
Information
Journal of K-Theory , Volume 12 , Issue 1: Nanjing Special Issue on K-theory, number theory and geometry , August 2013 , pp. 115 - 123
Copyright
Copyright © ISOPP 2013 

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