On p^(j)-rank of Even K-groups of Rings of Integers  

作　　者：Meng Fai LIM 

机构地区：[1]School of Mathematics and Statistics&Hubei Key Laboratory of Mathematical Sciences,Central China Normal University,Wuhan 430079,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第10期2481-2496,共16页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11771164);the Fundamental Research Funds for the Central Universities of CCNU(Grant No.CCNU20TD002)。

摘　　要：Let L/F be a finite Galois extension of number fields of degree n and let p be a prime which does not divide n.We shall study the p^(j)-rank of K_(2i)(O_(L))via its Galois module structure following the approaches of Iwasawa and Komatsu–Nakano.Along the way,we generalize previous observations of Browkin,Wu and Zhou on K_(2)-groups to higher even K-groups.We also give examples to illustrate our results.Finally,we apply our discussion to refine a result of Kitajima pertaining to the p-rank of even K-groups in the cyclotomic Z_(l)-extension,where l≠p.

关 键 词：p^(j)-rank even K-groups rings of integers 

分 类 号：O153.3[理学—数学]