Volume no :24, Issue no: 2, June (2021)

Journal of Algebra, Number Theory: Advances and Applications

OCTAD ORBITS FOR CERTAIN SUBGROUPS OF

Author's: Peter Rowley and Louise Walker
Pages: [155] - [195]
Received Date: February 13, 2021; Revised May 24, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122177

Abstract

Using Curtis’s MOG [3], we display the orbits and orbit representatives for various subgroups of the Mathieu group acting on the octads of the Steiner system This information is deployed in [8] and [9] to study a graph associated with the largest simple Fischer group.

Keywords

Mathieu group, subgroups, octad orbits.