On p-rank of even K-groups of rings of integers

作     者：Meng Fai LIM 

作者机构：School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences Central China Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期：2023年

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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 finite Galois extension of number fields of degree n and let p be a prime which does not divide n. We shall study the pj-rank of K2i(OL) 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 K2-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 Zl-extension, where l≠p.