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Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.2020.tde-09032020-082128
Document
Author
Full name
Rafael Budaibes
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2019
Supervisor
Committee
Milies, Francisco Cesar Polcino (President)
Assuena, Samir
Ferraz, Raul Antonio
Iwaki, Edson Ryoji Okamoto
Pereira, André Luiz Martins
Title in Portuguese
Idempotentes primitivos em álgebras de grupo finitas e códigos minimais
Keywords in Portuguese
Algoritmos
Anéis de grupo
Códigos corretores
Códigos minimais
GAP
Idempotentes primitivos
Abstract in Portuguese
Este trabalho apresenta alguns métodos algorítmicos para determinação de famílias completas de idempotentes primitivos em componentes simples de FG com a hipótese de uma álgebra de grupo finita. Tais métodos viabilizam a construção de códigos minimais à esquerda em FG. Eles são fortemente baseados em GAP e nós apresentaremos os algoritmos criados em detalhes
Title in English
Primitive idempotents in finite group algebras and minimal codes
Keywords in English
Algorithms
Error correcting codes
GAP
Group rings
Minimal codes
Primitive idempotents
Abstract in English
In this work, we present some algoritmic methods for the determination of a complete set of primitive idempotent in simple components of a finite group algebra. Such methods provide techniques for the construction of minimal left codes in FG. The methods are strongly based on program GAP and we present in details the routines we created.
 
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Publishing Date
2020-03-18
 
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