The Monster group is a completion of the Goldschmidt G3-amalgam

2026/07/28 by Heiko Dietrich
Mathematics · #math.GR #msc:20D08 #msc:20-08

paper · pdf

arxiv created 2026/07/28 · arxiv updated 2026/07/31

Abstract

We prove the claim in the title and complete Parker and Rowley's classification (J. Algebra 2001) of which sporadic simple groups are completions of the Goldschmidt G3-amalgam.

Citations

• The maximal subgroups of the Monster
• A fast implementation of the Monster group
• Automorphisms of trivalent graphs

Related

• A Monstrous Proposal
• The Monster and black-box groups
• The Order of the Monster Finite Simple Group
• A computer-friendly construction of the monster
• An Elementary Proof of the Nonexistence of Tarski Monster Groups of Exponent 3