Some computations in the Monster group and related topics.

Abstract

Simon Norton has produced a presentation for the Monster group induced by the action of L3(3) on a projective plane of order 3. The generators given by Norton can be found inside the involution centralizer of the Monster. R. A. Wilson and Petra Holmes has already given a 2-local construction of the Monster and this implies that it is possible to give a computational proof of the existence of the Monster. In this thesis we construct the generators given by Norton and also verify the new presentation given by him. Thus we give a new existence proof of the Monster which does not depend on the original proof given by Griess.