The Structure of the Unit Group of the Group Algebra

DOI10.4153/CMB-2010-098-5zbMath1242.16033MaRDI QIDQ2882468

Leo Creedon, Joe Gildea

Publication date: 4 May 2012

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/196474

zbMATH Keywords

group algebrasgroup ringscyclic groupsunit groupsdihedral group of order 8

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 (21)

On the isomorphism of unitary subgroups of noncommutative group algebras ⋮ 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 Unitary Subgroups of group algebras ⋮ Unit groups of group algebras of some small groups ⋮ Unnamed Item ⋮ Unitary subgroups of commutative group algebras of the characteristic two ⋮ Unnamed Item ⋮ Structure of the unitary subgroup of the group algebra 𝔽2n(QD)16 ⋮ UNITS IN F₂D_2p ⋮ ON THE STRUCTURE OF THE UNITARY SUBGROUP OF THE GROUP ALGEBRA 𝔽_2^qD_2ⁿ ⋮ Units in finite dihedral and quaternion group algebras. ⋮ A comparison of group algebras of dihedral and quaternion groups ⋮ The unit group of some special semi-simple group algebras ⋮ UNITS OF THE GROUP ALGEBRA 𝔽₂κ(C₂× D₈) ⋮ ON THE UNITARY UNITS OF THE GROUP ALGEBRA 𝔽_2^mM₁₆ ⋮ The structure of the unit group of the group algebra $\mathbb{F}_{2^k } A_4 $ ⋮ On the unitary units of the group algebra 𝔽_2^kQ₁₆ ⋮ Unit group of semisimple group algebras of some non-metabelian groups of order 120 ⋮ A note on units in \(\mathbb{F}_Q \operatorname{SL} (2, \mathbb{Z}_3)\) ⋮ The order of the unitary subgroups of group algebras

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