2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65272Let $U$ be an arbitrary word in letters $x_1^{\pm 1}, ..., x_m^{\pm 1}$ and $m \ge 2$. We prove that the group presentation $<x_1, ..., x_m \|\ U x_i U^{-1} = x_{i+1}, i=1,..., m-1>$ is aspherical. The proof is based upon prior partial results of A. Klyachko and the author on the asphericity of such presentations.3 pagesGroup TheoryGeometric Topology20F05, 57M20text