Computing the Character Table of a 2-local Maximal Subgroup of the Monster

2025/03/20 by Pisani, Anthony
#20-08 #20C15 #20D08 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2503.15857

Abstract

We employ the recently developed hybrid and mmgroup computational models for groups to calculate the character table of N(\rm2B⁵) ≅ 2^5+10+20.( \rmS₃ × \rmL₅ 2 ), a maximal subgroup of the Monster sporadic simple group. This completes the list of the character tables of maximal subgroups of the Monster. Our approach illustrates how the aforementioned computational models can be used to calculate relatively straightforwardly in the Monster.

Related

• Some steps in the verification of the ordinary character table of the Monster group
• Explicit construction of the maximal subgroups of the Monster
• Verification of the conjugacy classes and ordinary character table of the Monster
• The maximal subgroups of the Monster
• Verification of the ordinary character table of the Baby Monster