A construction of the Held simple group

DOI10.1006/jabr.2000.8554zbMath0986.20016OpenAlexW1975306866MaRDI QIDQ1841850

Gernot Stroth

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8554

zbMATH Keywords

geometriessporadic groupsembeddingsamalgamsHeld simple group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: sporadic groups (20D08)

Cites Work

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• Minimal parabolic geometries for the sporadic groups
• Minimal 2-local geometries for the Held and Rudvalis sporadic groups
• On a parabolic system of type \(M_{24}\)
• A computer-free construction of \(J_4\)
• A computer-free construction of the third group of Janko
• Graphs related to Held's simple group
• The simple groups related to \(M_{24}\)
• A new finite simple group with abelian Sylow 2-subgroups and its characterization
• A presentation and a representation of the Held group

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