COMPUTING THE DIMENSION OF IDEALS IN GROUP ALGEBRAS, WITH AN APPLICATION TO CODING THEORY

DOI10.17654/NT045010013zbMath1491.20010arXiv1403.7920OpenAlexW3003309714MaRDI QIDQ5036051

Michele Elia, Elisa Gorla

Publication date: 23 February 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7920

zbMATH Keywords

representationgroup algebracharacteristic polynomialrankidealgroup code

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other types of codes (94B60) Ideals in associative algebras (16D25)

Related Items

On the dimension of ideals in group algebras, and group codes, GROUP PERFECT CODE IN COMMUTING ORDER PRODUCT PRIME GRAPH, Dihedral codes with prescribed minimum distance

Cites Work

• An intrinsical description of group codes
• A fast parallel algorithm to compute the rank of a matrix over an arbitrary field
• An introduction to group rings
• GROUP CODES OVER NON-ABELIAN GROUPS
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