2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72221The description of the automorphism group of group $<a, b; [a^m,b^n]=1>$ ($m,n>1$) in terms of generators and defining relations is given. This result is applied to prove that any normal automorphism of every such group is inner.9 pagesGroup Theory20F28; 20F05; 20E06text