Units of group algebras of non-Abelian groups of order 16 and exponent 4 over \(\mathbb F_{2^k}\).

DOI10.1007/s00025-011-0094-0zbMath1264.16039OpenAlexW2170543013MaRDI QIDQ1930328

Joe Gildea

Publication date: 10 January 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0094-0

zbMATH Keywords

group algebrasunit groupsgroups of normalized unitscharacteristic 2products of cyclic groupsgroups of order 16

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

Unit groups of group algebras of some small groups

Cites Work

• Units in the modular group algebra of a finite Abelian p-group
• Unitary units in modular group algebras
• UNITARY UNITS OF THE GROUP ALGEBRA 𝔽_2^kQ₈
• Presentations for Unit Groups of Modular Group Algebras of Groups of Order 16
• Unitary units in modular group algebras of 2-groups
• On the order of the unitary subgroup of a modular group algebra
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