Unit groups of finite group algebras of Abelian groups of order at most 16

DOI10.1142/S1793557121500303zbMath1470.16049OpenAlexW3003749412MaRDI QIDQ4985466

Sheere Farhat Ansari, Meena Sahai

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500303

zbMATH Keywords

group algebrasunit groups

Mathematics Subject Classification ID

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

Related Items (8)

Unit groups of finite group algebras of abelian groups of order 17 to 20 ⋮ Unit groups of group algebras of Abelian groups of order 32 ⋮ The group of units of group algebras of abelian groups of order 36 and $C_{3}\times A_{4}$ over any finite field ⋮ Units in $F(C_n \times Q_{12})$ and $F(C_n \times D_{12})$ ⋮ Group of units of finite group algebras for groups of order 24 ⋮ Unit groups of group algebras of groups of order 18 ⋮ Unnamed Item ⋮ Unit groups of group algebras of groups of order 20

Cites Work

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• Units in the modular group algebra of a finite Abelian p-group
• Unit groups of group algebras of some small groups
• Unit groups of the finite group algebras of generalized quaternion groups
• Simple Components of the Center ofFG/J(FG)
• The Unit Group of Small Group Algebras and the Minimum Counterexample to the Isomorphism Problem
• Presentations for Unit Groups of Modular Group Algebras of Groups of Order 16
• Unit groups of group algebras of certain dihedral groups-II

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