Nilpotent elements of order \(3\) in the Green ring of the dihedral-\(2\)- groups

DOI10.1007/BF01189819zbMath0830.20007MaRDI QIDQ1337768

Hans Heldner

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

finite groupsnilpotent elementstensor productsdihedral 2-groupsdihedral groupsGreen ringsSylow \(p\)- subgroupsdirect sum of indecomposable modulesfinitely generated \(kG\)-modules

Mathematics Subject Classification ID

Group rings (16S34) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Frobenius induction, Burnside and representation rings (19A22)

Related Items (1)

On certain quotients of the Green rings of dihedral 2-groups.

Cites Work

• Unnamed Item
• Nilpotent elements in the Green ring
• The indecomposable representations of the dihedral 2-groups
• Nilpotent elements in representation rings over fields of characteristic 2
• Nilpotent elements in representation rings
• REPRESENTATIONS OF DIHEDRAL GROUPS OVER A FIELD OF CHARACTERISTIC 2

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