ON THE ORDERS OF EVEN K-GROUPS OF RINGS OF INTEGERS IN CYCLOTOMIC Zp-EXTENSIONS OF Q

被引：0

作者：

Kitajima, Takahiro ^{[1
]}

机构：

[1] Keio Univ, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2013年 / 9卷 / 07期

关键词：

Iwasawa theory; algebraic K-theory; zeta and L-functions; p-adic L-functions; NUMBER;

D O I：

10.1142/S1793042113500528

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime number, and let B-p,B-n be the nth layer in the cyclotomic Z(p)-extension of Q with ring of integers O-Bp,O- n. In this paper we show that for each even integer m >= 2 and each prime number p the orders of the Quillen K-groups K2m-2(O-Bp,O- n) are unbounded, and that there are in fact infinitely many different prime numbers dividing the order of K2m-2(O-Bp,O- n) for some n.

引用

页码：1713 / 1724

页数：12

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