Constructing a short defining set of relations for a finite group

DOI10.1006/jabr.2000.8436zbMath1007.20033OpenAlexW2101244109MaRDI QIDQ1593794

Volker Gebhardt

Publication date: 27 March 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8436

zbMATH Keywords

relationsalgorithmsfinite groupsgenerators

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Software, source code, etc. for problems pertaining to group theory (20-04)

Uses Software

• Magma

Cites Work

• Construction of defining relators for finite groups
• A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups
• The Magma algebra system. I: The user language
• Evidence for a new finite simple group
• Implementation and Analysis of the Todd-Coxeter Algorithm
• Two Short Presentations for Lyons' Sporadic Simple Group
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