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论文类型：期刊论文

发表时间：2012-03-01

发表刊物：CZECHOSLOVAK MATHEMATICAL JOURNAL

收录刊物：SCIE

卷号：62

期号：1

页面范围：279-292

ISSN号：0011-4642

关键字：integral group ring; augmentation ideal; augmentation quotient groups; finite 2-group; semidihedral group

摘要：Let G be a finite nonabelian group, a"currency signG its associated integral group ring, and Delta(G) its augmentation ideal. For the semidihedral group and another nonabelian 2-group the problem of their augmentation ideals and quotient groups Q (n) (G) = Delta (n) (G)/Delta (n+1)(G) is deal with. An explicit basis for the augmentation ideal is obtained, so that the structure of its quotient groups can be determined.