Standard generators for sporadic simple groups
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Publication:1922893
DOI10.1006/jabr.1996.0271zbMath0855.20034OpenAlexW2010987003WikidataQ61012341 ScholiaQ61012341MaRDI QIDQ1922893
Publication date: 3 November 1996
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1996.0271
wordssporadic simple groupsgeneratorscomputer calculationsexplicit automorphismsreproducibility of computational results on sporadic groupssets of standard generators
Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Software, source code, etc. for problems pertaining to group theory (20-04)
Related Items (38)
Conjectures on the character degrees of the Harada-Norton simple group \(HN\). ⋮ Enumerating big orbits and an application: \(B\) acting on the cosets of \(Fi_{23}\). ⋮ Product Replacement in the Monster ⋮ Involutions in the automorphism groups of small sporadic simple groups. ⋮ Conjugacy Class Representatives in Fischer's Baby Monster ⋮ The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group J4 ⋮ Completing the Brauer Trees for the Sporadic Simple Lyons Group ⋮ Base sizes for sporadic simple groups. ⋮ Broué's Abelian defect group conjecture for the sporadic simple Janko group \(J_4\) revisited. ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ Verification of the ordinary character table of the baby monster ⋮ Automorphism group computation and isomorphism testing in finite groups ⋮ Standard Generators for J3 ⋮ Conjugacy Class Representatives in the Monster Group ⋮ Orbit invariants and an application to the Baby Monster. ⋮ A practical model for computation with matrix groups. ⋮ The 13-modular character table of 2.Suz.2 ⋮ On the multiplicity-free actions of the sporadic simple groups. ⋮ The 5-modular characters of the sporadic simple Harada-Norton group \(HN\) and its automorphism group \(HN.2\). ⋮ GENERATING MAXIMAL SUBGROUPS OF SPORADIC SIMPLE GROUPS ⋮ A NEW COMPUTER CONSTRUCTION OF THE IRREDUCIBLE 112-DIMENSIONAL 2-MODULAR REPRESENTATION OF JANKO'S GROUPJ4 ⋮ The Brauer characters of the sporadic simple Harada–Norton group and its automorphism group in characteristics 2 and 3 ⋮ On Minimal Factorisations of Sporadic Groups ⋮ The Brauer Tree of the Principal 19-Block of the Sporadic Simple Thompson Group ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ Presentations on standard generators for classical groups ⋮ ON THE RANKS OF THE CONWAY GROUPS Co2 AND Co3 ⋮ The Alperin and Uno Conjectures for the Fischer Simple Group Fi22 ⋮ The Character Table of a Maximal Subgroup of the Monster ⋮ On the Action of the Sporadic Simple Baby Monster Group on its Conjugacy Class 2B ⋮ The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′24 ⋮ A local strategy to decide the Alperin and Dade conjectures ⋮ Constructions of Fischer's Baby Monster over fields of characteristic not \(2\) ⋮ THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi23 ⋮ Sporadic simple groups which are completions of the Goldschmidt \(G_3\)-amalgam ⋮ Conjugacy classes in sporadic simple groups ⋮ Strongly Real Beauville Groups ⋮ Generalised Sifting in Black-Box Groups
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