Volume no :24, Issue no: 1, March (2021)

Journal of Algebra, Number Theory: Advances and Applications

THE POINT-LINE COLLINEARITY GRAPH OF THE MAXIMAL 2-LOCAL GEOMETRY – THE FIRST THREE DISCS

Author's: Peter Rowley and Louise Walker
Pages: [53] - [109]
Received Date: February 13, 2021
Submitted by: Professor Jinshan Zhang
DOI: http://dx.doi.org/10.18642/jantaa_7100122178

Abstract

The disc structure of the point-line collinearity graph for the maximal 2-local geometry associated with the largest simple Fischer group is investigated. For an arbitrary vertex of this graph the first three discs are determined. Additionally a fragment of the fourth disc is uncovered.

Keywords

point-line collinearity graph, maximal 2-local geometry, Fischer group, disc structure.