The Augmentation Quotients of the Groups of Order 25, I

DOI10.1080/00927870902897962zbMath1182.16019OpenAlexW4241850899MaRDI QIDQ3644337

Qingxia Zhou, Hong You

Publication date: 4 November 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870902897962

zbMATH Keywords

basesaugmentation idealsintegral group ringsfinite 2-groupsaugmentation quotients

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

The Augmentation Quotients of the Groups of Order 2⁵, II ⋮ The Stable Behavior of the Augmentation Quotients of the Groups of Order p⁵, I

Cites Work

• The stable behavior of the augmentation quotients of the groups of order \(p^3\)
• The periodicity in the graded ring associated with an integral group ring
• An introduction to group rings
• Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion Abelian groups.
• Determination of the augmentation terminal for all finite abelian groups of exponent 4
• For all finite abelian groups of exponent 8
• Augmentation quotients of some nonabelian finite groups
• On a Problem of Karpilovsky
• Presenting powers of augmentation ideals of elementary \(p\)-groups

This page was built for publication: The Augmentation Quotients of the Groups of Order 2⁵, I