The universal nonabelian representation of the Petersen type geometry related to \(J_ 4\)

DOI10.1006/jabr.1996.6974zbMath0872.51012OpenAlexW1990692093MaRDI QIDQ1357800

Sergey V. Shpectorov, Alexander A. Ivanov

Publication date: 16 June 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6974

zbMATH Keywords

diagram geometriesfourth sporadic simple groupPetersen type geometryuniversal representation group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Buildings and the geometry of diagrams (51E24)

Cites Work

• A geometric characterization of Fischer's Baby Monster
• Geometries for sporadic groups related to the Petersen graph. II
• 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
• Natural representations of the \(P\)-geometries of \(Co_ 2\)-type
• Non-abelian representations of some sporadic geometries
• A Presentation for J ₄
• The flag-transitive tilde and Petersen-type geometries are all known
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