Presentations for Unit Groups of Modular Group Algebras of Groups of Order 16
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Publication:4032173
DOI10.2307/2153084zbMath0784.16021OpenAlexW4229993176MaRDI QIDQ4032173
Publication date: 1 April 1993
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2153084
Group rings (16S34) Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)
Related Items (10)
The modular group algebra of a central-elementary-by-abelian p-group ⋮ The modular isomorphism problem: a survey ⋮ Units of group algebras of non-Abelian groups of order 16 and exponent 4 over \(\mathbb F_{2^k}\). ⋮ Structure of the unitary subgroup of the group algebra 𝔽2n(QD)16 ⋮ The nilpotency class of the unit group of a modular group algebra. II ⋮ A comparison of group algebras of dihedral and quaternion groups ⋮ The nilpotency class of the unit group of a modular group algebra. I ⋮ Unit groups of finite group algebras of Abelian groups of order at most 16 ⋮ The structure of the unit group of the group algebra $\mathbb{F}_{2^k } A_4 $ ⋮ Mod \(2\) group algebras with metabelian unit groups
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