Symmetric presentations for the Fischer groups. II: The sporadic groups.

DOI10.1007/s10711-004-1491-2zbMath1083.20030OpenAlexW1995486911MaRDI QIDQ2571708

Christopher Parker, Corinna Wiedorn, John N. Bray, Robert T. Curtis

Publication date: 14 November 2005

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-004-1491-2

zbMATH Keywords

relationssporadic simple groupsgeneratorsfinite simple groupsautomorphism groupsfree productssymmetric presentationsconjugacy classes of involutionsFischer groupsprogenitors

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Buildings and the geometry of diagrams (51E24) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Symmetric presentations for the Fischer groups. I: The classical groups \(\text{Sp}_6(2)\), \(\text{Sp}_8(2)\), and \(3\cdot\text{O}_7(3)\)
• Monomial modular representations and construction of the Held group
• On geometries of the Fischer groups
• Finite groups generated by 3-transpositions. I
• Symmetric generation and existence of the Janko group <I>J</I>1
• A Symmetric Presentation forJ₁
• Double coset enumeration of symmetrically generated groups

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