The uniqueness of groups of type \(J_ 4\)

DOI10.1007/BF01232280zbMath0735.20006WikidataQ29030110 ScholiaQ29030110MaRDI QIDQ1177418

Yoav Segev, Michael Aschbacher

Publication date: 26 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143925

zbMATH Keywords

collinearity graphsimple groupuniqueness proofsimply connected2-local geometrycomputer free proofgroups of type \(J_ 4\)uniqueness systems

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Buildings and the geometry of diagrams (51E24) Combinatorial geometries and geometric closure systems (51D20)

Related Items

The flag-transitive tilde and Petersen-type geometries are all known ⋮ An algorithmic approach to fundamental groups and covers of combinatorial cell complexes ⋮ A computer-free construction of \(J_4\)

Cites Work

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• The modular characters of the Mathieu groups
• Extending morphisms of groups and graphs
• The simple groups related to \(M_{24}\)