Presentations of finite simple groups: a computational approach.

DOI10.4171/JEMS/257zbMath1256.20008arXiv0804.1396MaRDI QIDQ621854

William M. Kantor, Martin Kassabov, Alexander Lubotzky, Robert M. Guralnick

Publication date: 28 January 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1396

zbMATH Keywords

alternating groupsfinite simple groups of Lie typegenerators and relationsbit-lengthsshort presentations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Generators, relations, and presentations of groups (20F05) Cohomology of groups (20J06) Software, source code, etc. for problems pertaining to group theory (20-04) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (12)

Presentations: from Kac-Moody groups to profinite and back ⋮ On the consistency problem for modular lattices and related structures ⋮ PERMUTATION-BASED PRESENTATIONS FOR BRIN’S HIGHER-DIMENSIONAL THOMPSON GROUPS ⋮ Remarks on proficient groups. ⋮ Short presentations for alternating and symmetric groups ⋮ Presentations of finite simple groups: profinite and cohomological approaches. ⋮ Presentations of finite simple groups: A quantitative approach ⋮ Presentations of generalisations of Thompson's group \(V\) ⋮ Presentations on standard generators for classical groups ⋮ PRESENTATIONS OF AFFINE KAC–MOODY GROUPS ⋮ Sparse graph limits along balls ⋮ Black box exceptional groups of Lie type

Uses Software

• Magma

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