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Journal of University of Chinese Academy of Sciences ›› 2023, Vol. 40 ›› Issue (4): 453-455.DOI: 10.7523/j.ucas.2021.0043

• Research Articles • Previous Articles     Next Articles

Estimation of the structure of K2(4C2r)

DENG Wenchao, TANG Guoping   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2021-04-27 Revised:2021-05-12 Online:2023-07-15

Abstract: We already know K2(4C2)=(C2)2,K2(4C4)=(C2)3 from a paper of Zhang Yakun and Tang Guoping(K2 for a kind of special finite group rings). In this paper, we got a set of simplified generators of K2(4C2r) by calculating Dennis-Stein symbol in relative K2 group. Then we got the basis for K2(4C2) and K2(4C4), and we got to know K2(4C8)=(C2)k, 3 ≤ k ≤ 5, K2(4C2r)=(C2)l,l ≤ 2r-1+1。

Key words: K2 group, group ring, Dennis-Stein symbol

CLC Number: