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Indexed by:期刊论文

Date of Publication:2012-03-01

Journal:CZECHOSLOVAK MATHEMATICAL JOURNAL

Included Journals:SCIE

Volume:62

Issue:1

Page Number:279-292

ISSN No.: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.