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中国科学院大学学报 ›› 2018, Vol. 35 ›› Issue (6): 721-723.DOI: 10.7523/j.issn.2095-6134.2018.06.001

• 数学与物理学 •    下一篇

一类特殊有限群环的K2-群

张亚坤, 唐国平   

  1. 中国科学院大学数学科学学院, 北京 100049
  • 收稿日期:2017-10-19 修回日期:2018-12-18 发布日期:2018-11-15
  • 通讯作者: 张亚坤
  • 基金资助:
    Supported by National Natural Science Fundation of China(11371343)

K2 for a kind of special finite group rings

ZHANG Yakun, TANG Guoping   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2017-10-19 Revised:2018-12-18 Published:2018-11-15
  • Supported by:
    Supported by National Natural Science Fundation of China(11371343)

摘要: G为阶数小于6的非平凡群,p为整除群G的阶数的素数,确定k≥2时K2(ZG/pk(ZG)的结构。

关键词: K2-群, Dennis-Stein符号, 群环

Abstract: Let G be a non-trivial group of order less than 6, p a prime dividing the order of G, we obtain the structure of K2(ZG/pkZG) for k ≥ 2.

Key words: K2-group, Dennis-Stein symbols, group rings

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