The Structure of the Unit Group of the Group Algebra 𝔽3k(C3 × D6)

DOI10.1080/00927872.2010.482552zbMath1202.16030OpenAlexW1974573539MaRDI QIDQ3057720

Joe Gildea

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.482552

zbMATH Keywords

group algebrasgroup ringscyclic groupsdihedral groupsunit groups

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 (9)

Unit group structure of the quotient ring of a quadratic ring ⋮ The unit group of finite group algebra of a generalized dihedral group ⋮ On the probability of zero divisor elements in group rings ⋮ Unit groups of group algebras of some small groups ⋮ UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3 ⋮ Unit groups of the finite group algebras of generalized quaternion groups ⋮ Unit groups of group algebras of groups of order 18 ⋮ Units in finite dihedral and quaternion group algebras. ⋮ The unit group of some special semi-simple group algebras

Cites Work

• Units in the modular group algebra of a finite Abelian p-group
• An introduction to group rings

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