Point-line collinearity graphs of two sporadic minimal parabolic geometries

Peter Rowley, Paul Taylor

    Research output: Contribution to journalArticlepeer-review

    Abstract

    The disc structure of the point-line collinearity graph for the rank two minimal parabolic geometries of the Thompson and Harada-Norton simple groups are investigated. Additionally details of the sub-orbits of these two groups in their conjugation action upon an involution conjugacy class is given. In particular, we give a list of representatives for each of these sub-orbits. © 2011 Elsevier Inc.
    Original languageEnglish
    Pages (from-to)304-310
    Number of pages6
    JournalJournal of Algebra
    Volume331
    Issue number1
    DOIs
    Publication statusPublished - 1 Apr 2011

    Keywords

    • Minimal parabolic geometry
    • Point-line collinearity graph
    • Sporadic simple groups

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