Browsing by Author "Horine, Thomas"

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    Using the 11-point biplane and L 2 ( 11 ) to understand J 1
    (Rocky Mountain Mathematics Consortium, 2022-02) Horine, Thomas
    In this paper, we use the 11-point biplane and its automorphisms in L2(11) to label and study the Livingstone graph (0) and J1, with an aim of using the simplest methods possible. We detail the action of J1 on 0, along with the adjacencies and coadjacencies (vertices at maximum distance) in 0. In the last section, we use this apparatus to describe the generation of subgroups of the form 23 : 7 : 3 and an elegant substructure of 0 fixed by a maximal subgroup of J1 isomorphic to 19 : 6.