The unit group of the group algebra \({\mathbb{F}}_q\left({\mathbb{Z}}_9\rtimes{\mathbb{Z}}_3\right)\)

DOI10.1007/S11253-024-02383-YMaRDI QIDQ6654877

D. C. Mishra, Rajendra Kumar Sharma, Yogesh Kumar

Publication date: 20 December 2024

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Cites Work

• A note on units in \(\mathbb{F}_Q \operatorname{SL} (2, \mathbb{Z}_3)\)
• The structure of the unit group of the group algebra \(\mathbb F_{2^k}D_8\).
• The structure of the unitary units of the group algebra \(\mathbb F_{2^k}D_8\).
• The unit group of finite group algebra of a generalized dihedral group.
• The Structure of the Unit Group of the Group Algebra 𝔽_3^k(C₃ × D₆)
• UNITS OF THE GROUP ALGEBRA 𝔽₂κ(C₂× D₈)
• The structure of the unit group of the group algebra $\mathbb{F}_{2^k } A_4 $
• Simple Components of the Center ofFG/J(FG)
• Convolutional codes from units in matrix and group rings
• A note on the structure of $$\mathbb{F}_{p^k}A_5/J (\mathbb{F}_{p^k}A_5)$$
• Jordan regular units in rings and group rings
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