Unit groups of group algebras of groups of order 18

DOI10.1080/00927872.2021.1893740zbMath1483.16025OpenAlexW3137074515MaRDI QIDQ5153790

Sheere Farhat Ansari, Meena Sahai

Publication date: 1 October 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1893740

zbMATH Keywords

group algebrasdihedral groupunit group

Mathematics Subject Classification ID

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

Related Items (3)

Group of units of finite group algebras for groups of order 24 ⋮ Unnamed Item ⋮ Unit group of some finite semisimple group algebras

Uses Software

• GAP

Cites Work

• An introduction to group rings
• The unit group of finite group algebra of a generalized dihedral group
• Unit groups of group algebras of some small groups
• The Structure of the Unit Group of the Group Algebra 𝔽_3^k(C₃ × D₆)
• Simple Components of the Center ofFG/J(FG)
• UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3
• Unit groups of finite group algebras of Abelian groups of order at most 16
• Units in finite dihedral and quaternion group algebras.
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