The Monster is a Hurwitz group

2001/01/11 by Robert A. Wilson · 2 citations
Chemistry · Mathematics · #Algebra over a field #Art #Chemistry #Combinatorics #Finite Group Theory Research #Geometric and Algebraic Topology #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Literature #Mathematics #Monster #Organic chemistry #Pure mathematics

paper · doi:10.1515/jgth.2001.027

openalex publication_date 2001/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/04

Abstract

We describe explicit calculations to find generators a and b for the Monster sporadic simple group, satisfying the relations a(2) = b(3) = (ab)(7) = 1.

Citations

• Classical Groups of Large Rank as Hurwitz Groups
• The friendly giant
• Hurwitz Groups of Large Rank

Cited by

• Hurwitz's automorphisms theorem [wikipedia]
• Triangle group [wikipedia]