On primitive geometries of rank two

DOI10.26493/2590-9770.1301.165zbMath1429.51003OpenAlexW2303972976WikidataQ127366100 ScholiaQ127366100MaRDI QIDQ5198034

Dimitri Leemans, Bernardo Gabriel Rodrigues

Publication date: 2 October 2019

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/2590-9770.1301.165

zbMATH Keywords

sporadic groupsdesignscodesprimitive coset geometries

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Automorphisms of abstract finite groups (20D45) Buildings and the geometry of diagrams (51E24) Computational methods for problems pertaining to geometry (51-08)

Uses Software

• Magma

Cites Work

• On rank 2 geometries of the Mathieu group \(M_{23}\)
• Diagrams for geometries and groups
• Geometries of small almost simple groups based on maximal subgroups
• Classifying geometries with CAYLEY
• The Magma algebra system. I: The user language
• Binary codes of some strongly regular subgraphs of the McLaughlin graph
• On rank 3 residually connected geometries for M_{23}
• Some rank 3 residually connected geometries for M_{23}
• 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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