Derivations on group algebras with coding theory applications

DOI10.1016/j.ffa.2018.11.005zbMath1431.13029arXiv1808.05381OpenAlexW2903035944WikidataQ128667425 ScholiaQ128667425MaRDI QIDQ1734675

Kieran Hughes, Leo Creedon

Publication date: 27 March 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05381

zbMATH Keywords

group algebraderivationscoding theorygroup ringdihedral

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derivations and commutative rings (13N15) Derivations, actions of Lie algebras (16W25)

Related Items (6)

A categorical approach to the study of derivations in group algebras ⋮ Differential calculuses on group algebras ⋮ Derivations of group rings for finite and FC groups ⋮ Combinatorial description of derivations in group algebras ⋮ A comparison of group algebras of dihedral and quaternion groups ⋮ On derivations in group algebras and other algebraic structures

Uses Software

• GAP

Cites Work

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• A Note on Derivations
• Derivations of integral group rings
• Derivations on Group Algebras
• The extended quadratic residue code is the only (48,24,12) self-dual doubly-even code
• A Note on Derivations of Group Rings
• Derivations of simple $C^*$-algebras. II
• Structure theorems for group ring codes with an application to self-dual codes

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