The Isomorphism Problem for Higman-Thompson groups

2010/06/09 by Pardo, Enrique
#16D70 #20F05 #FOS: Mathematics #Group Theory (math.GR) #Primary 20E32 #Rings and Algebras (math.RA) #Secondary 20E36

paper · doi:10.48550/arxiv.1006.1759

Abstract

We prove that the Higman-Thompson groups G_n,r⁺ and G_m,s⁺ are isomorphic if and only if m=n and gcd(n-1,r)=gcd(n-1,s).

Related

• New embeddings between the Higman-Thompson groups
• Some isomorphism results for Thompson like groups V_n(G)
• Automorphisms of the generalised Thompson's group T_n,r
• Subgroups of R. Thompson's Group F that are Isomorphic to F
• Monoids that map onto the Thompson-Higman groups