Involution Fixed Sets of the \(M_{24}\) Maximal \(2\)-Local Geometry Chamber Graph

P.J. Rowley1, L.A. Walker2
1School of Mathematics University of Manchester Oxford Road Manchester, M13 9PL UK
2School of Mathematics University of Manchester Oxford Road Manchester, M13 9PL UK

Abstract

Let \(\Gamma\) be the rank three \(M_{24}\) maximal \(2\)-local geometry. For the two conjugacy types of involution in \(M_{24}\), we describe the fixed point sets of chambers in \(\Gamma\).