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 \(\Gamma\).
Citation
P.J. Rowley, L.A. Walker. Involution Fixed Sets of the \(M_{24}\) Maximal \(2\)-Local Geometry Chamber Graph[J], Ars Combinatoria, Volume 111. 305-313. .