Matrix generators for the Harada–Norton group

DOI10.1080/10586458.1994.10504285zbMath0831.20016OpenAlexW2024004408MaRDI QIDQ4842379

Robert A. Wilson, Alexander J. E. Ryba

Publication date: 9 October 1995

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225045

zbMATH Keywords

computational methodsmatrix groupsHarada-Norton sporadic simple group\(133\times 133\) matrices over \(\text{GF}(5)\)generators for automorphism group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Automorphisms of abstract finite groups (20D45) Representations of sporadic groups (20C34)

Related Items (6)

A natural invariant algebra for the Harada-Norton group ⋮ The 5-modular characters of the sporadic simple Harada-Norton group \(HN\) and its automorphism group \(HN.2\). ⋮ Computing in the Monster ⋮ Embeddings of \(\text{PSL}(2,41)\) and \(\text{PSL}(2,49)\) in \(E_8(\mathbb{C})\) ⋮ Condensation of symmetrized tensor powers ⋮ Construction of Some Irreducible Subgroups of E₈ and E₆

Cites Work

• Maximal subgroups of the Harada-Norton group
• A new construction of the O'Nan simple group
• Computer construction of matrix representations of the covering group of the Higman-Sims group
• Embeddings of \(U_ 3(8)\), \(Sz(8)\) and the Rudvalis group in algebraic groups of type \(E_ 7\)
• The computer construction of matrix representations of finite groups over finite fields
• The Maximal Subgroups of the Thompson Group
• A New Construction of the Baby Monster and Its Applications
• Two New Constructions of the O'Nan Group
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