1996/05/01 by A. J. E. Ryba · 1 citation
Mathematics · #Finite Group Theory Research #Rings, Modules, and Algebras #Advanced Topics in Algebra #Mathematics #Automorphism #Pure mathematics #Invariant (physics) #Algebra over a field #Group (periodic table) #Automorphisms of the symmetric and alternating groups #Associative property #Commutative property #Physics #Mathematical physics
paper · doi:10.1017/s0305004100074454
openalex publication_date 1996/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
The Harada-Norton group is one of the twenty-six sporadic simple groups. It has order 273, 030, 912, 000, 000 = 2 14 .3 6 .5 6 .7.11.19. In this paper our main objective is: Theorem 1. The Harada-Norton group acts as a group of linear automorphisms of a 133- dimensional commutative, non-associative algebra defined over F 5 .