There is no Sz(8) in the Monster

2015/08/20 by Robert A. Wilson, Wilson, Robert A.
Mathematics · #20D08 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20D08

paper · pdf · doi:10.48550/arxiv.1508.04996

arxiv created 2015/08/20 · arxiv updated 2015/08/21

Abstract

As a contribution to an eventual solution of the problem of the determination of the maximal subgroups of the Monster we show that there is no subgroup isomorphic to Sz(8). The proof is largely, though not entirely, computer-free.

Related

• Indeed, the Monster has no almost simple maximal subgroup with socle PSL₂(16)
• On subgroups of the Monster isomorphic to PSL₂(8)
• The maximal subgroups of the Monster
• The Monster group is a completion of the Goldschmidt G3-amalgam
• Explicit construction of the maximal subgroups of the Monster