On the maximal rank of primitive residually connected geometries for \(M_{22}\)

DOI10.1016/j.jalgebra.2012.03.034zbMath1271.51003OpenAlexW2027542585MaRDI QIDQ1938540

Nayil Kilic, Peter J. Rowley

Publication date: 21 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.03.034

zbMATH Keywords

Steiner systemMathieu groupsgroup geometries

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Steiner systems in finite geometry (51E10)

Cites Work

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• Two rank six geometries for the Higman--Sims sporadic group
• Classifying geometries with CAYLEY
• The residually weakly primitive geometries of \(M_{22}\)
• Constructions of rank five geometries for the Mathieu group \(M_{22}\)
• Rank three residually connected geometries for \(M_{22}\), revisited
• A new combinatorial approach to M₂₄
• The Residually Weakly Primitive Geometries ofJ₃
• All Geometries of the Mathieu Group M_llBased on Maximal Subgroups
• On rank 2 and rank 3 residually connected geometries for $M_22$

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