Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

A new combinatorial approach to M24

R. T. Curtisa1

a1 Department of Pure Mathematics and Statistics, Cambridge

In this paper, we define M24 from scratch as the subgroup of S24 preserving a Steiner system S(5, 8, 24). The Steiner system is produced and proved to be unique and the group emerges naturally with many of its properties apparent.

(Received June 15 1974)