Unit groups of the finite group algebras of generalized quaternion groups

DOI10.1142/S0219498820501121zbMath1454.16042OpenAlexW2946346837WikidataQ114614650 ScholiaQ114614650MaRDI QIDQ3298358

Sheere Farhat Ansari, Meena Sahai

Publication date: 14 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820501121

zbMATH Keywords

group algebrasgeneralized quaternion groupsunit groups

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)

Related Items (2)

Units in $F(C_n \times Q_{12})$ and $F(C_n \times D_{12})$ ⋮ Unit groups of finite group algebras of Abelian groups of order at most 16

Cites Work

• The Structure of the Unit Group of the Group Algebra 𝔽_3^k(C₃ × D₆)
• On Units of Group Algebras of 2-Groups of Maximal Class
• THE STRUCTURE OF THE UNIT GROUP OF THE GROUP ALGEBRA OF PAULI'S GROUP OVER ANY FIELD OF CHARACTERISTIC 2
• THE CENTRE OF THE MAXIMAL p-SUBGROUP OF (_p^kD_2p)
• UNITARY UNITS OF THE GROUP ALGEBRA 𝔽_2^kQ₈
• Unit groups of group algebras of certain dihedral groups-II
• Units in finite dihedral and quaternion group algebras.
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