Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2012-03-01

Journal: CZECHOSLOVAK MATHEMATICAL JOURNAL

Included Journals: SCIE

Volume: 62

Issue: 1

Page Number: 279-292

ISSN: 0011-4642

Key Words: integral group ring; augmentation ideal; augmentation quotient groups; finite 2-group; semidihedral group

Abstract: 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.