On the structure of the augmentation quotient group for some nonabelian 2-groups

DOI10.1007/s10587-012-0013-xzbMath1249.20004OpenAlexW2091857883MaRDI QIDQ2897365

Huifang Zhao, Ji Zhu Nan

Publication date: 10 July 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/246606

zbMATH Keywords

augmentation idealsintegral group ringsfinite 2-groupsaugmentation quotientssemidihedral groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (2)

Stability in graded rings associated with commutative augmented rings ⋮ A nilpotent quotient algorithm for finitely presented associative ℤ-algebras and its application to integral group rings

Cites Work

• The periodicity in the graded ring associated with an integral group ring
• Group rings and their augmentation ideals
• Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups.
• On a Problem of Karpilovsky
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