青岛大学学报（自然科学版）2011，Vol.24Issue(1)：21-24,4.DOI:10.3969/j.issn.1006-1037.2011.01.006
具有中心群代数同构的两个有限群
On Finite Groups with Isomorphic Centers of Group Rings
摘要
Abstract
Let G and H be two finite groups, R is the ring of all the algebraic integers in the field C of complex numbers. Denote the group algebra of G over R by RG and the central of RG by Z(RG). In this note,the following question is discussed: Suppose that Z(RG)≌Z(RH), then H is not necessarily an inner nilpotent group if G is an inner nilpotent group. Furthermore, the structure of the finite group H can be obtained.关键词
中心群代数/群代数/中心本原幂等元Key words
central group algebra/ group algebra/ central primitive idempotent分类
数理科学引用本文复制引用
王琰,海进科..具有中心群代数同构的两个有限群[J].青岛大学学报（自然科学版）,2011,24(1):21-24,4.基金项目
山东省自然基金资助项目(Y2008A03) （Y2008A03）
