New condensation methods with applications to the computation of Brauer character tables

Condensation is a technique that can often predict a Brauer character table of a finite group with a very high degree of confidence, but without a proof of correctness. In this paper we describe a strategy that can give such a proof. We introduce and apply two novel condensation methods: virtual ten...

Full description

Saved in:
Bibliographic Details
Published inJournal of Computational Algebra Vol. 12; p. 100023
Main Authors Lux, Klaus, Ryba, A.J.E.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.12.2024
Subjects
Brauer character tables
Condensation
Condensation
Brauer character tables
Online AccessGet full text

Cover

More Information
Summary:Condensation is a technique that can often predict a Brauer character table of a finite group with a very high degree of confidence, but without a proof of correctness. In this paper we describe a strategy that can give such a proof. We introduce and apply two novel condensation methods: virtual tensor condensation and the condensation of bilinear forms. We illustrate our strategy and new techniques with examples taken from our computation of the 5-modular Brauer character table of the sporadic simple Lyons group.
ISSN:2772-8277
2772-8277
DOI:10.1016/j.jaca.2024.100023