References

OCTAD ORBITS FOR CERTAIN SUBGROUPS OF


[1] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, Atlas of finite groups: Maximal subgroups and ordinary characters for simple groups, With computational assistance from J. G. Thackray, Oxford University Press, Eynsham, 1985.xxxiv+252 pp.

[2] J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, New York, 1988.

[3] R. T. Curtis, A new combinatorial approach to Mathematical Proceedings of the Cambridge Philosophical Society 79(1) (1976), 25-42.
DOI: https://doi.org/10.1017/S0305004100052075

[4] N. Kilic, On rank 2 geometries of the Mathieu group Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica 18(2) (2010), 131-147.

[5] E. Mathieu, Mémoire sur l'étude des fonctions de plusieurs quantités, sur la manière de les former et sur les substitutions qui les laissent invariables, Journal de Mathématiques Pures et Appliquées 6(2) (1861), 241-223.

[6] E. Mathieu, Sur la fonction cinq fois transitive de 24 quantités, Journal de Mathématiques Pures et Appliquées 18(2) (1873), 25-46.

[7] M. A. Ronan and S. D. Smith, 2-local geometries for some sporadic groups, Proceedings of Symposia in Pure Mathematics 37 (1980), 283-289.

[8] P. Rowley and L. Walker, The point-line collinearity graph of the maximal 2-local geometry: The first three discs, MIMS E-Print 2015.97.

[9] P. Rowley and B. Wright, Structure of the maximal 2-local geometry point-line collinearity graph, LMS Journal of Computation and Mathematics 19(1) (2016), 105-154.
DOI: https://doi.org/10.1112/S1461157016000036

[10] E. Witt, Die 5-fach transitiven gruppen von Mathieu, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 12(1) (1937), 256-264.
DOI: https://doi.org/10.1007/BF02948947

[11] E. Witt, Über steinersche systeme, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 12(1) (1937), 265-275.
DOI: https://doi.org/10.1007/BF02948948