Point-line collinearity graphs of two sporadic minimal parabolic geometries.

DOI10.1016/J.JALGEBRA.2010.11.022zbMath1277.20016OpenAlexW2027441560MaRDI QIDQ716465

D. Kharzeev

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.11.022

zbMATH Keywords

sporadic simple groupsminimal parabolic geometriesconjugacy classes of involutionsHarada-Norton simple grouppoint-line collinearity graphssub-orbitsThompson simple group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other finite incidence structures (geometric aspects) (51E30)

Related Items (3)

Involutions in the automorphism groups of small sporadic simple groups. ⋮ Chamber graphs of minimal parabolic sporadic geometries ⋮ Local fusion graphs and sporadic simple groups.

Cites Work

• Minimal parabolic geometries for the sporadic groups
• Centralizers of real elements in finite groups.
• A Monster Graph I
• Involutions in Janko’s simple group J₄
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