Let U be an arbitrary word in letters x1±1, . . . , xm±1 and m ≥ 2. We prove that the group presentation 〈x1, . . . , xm || UxiU -1 = xi+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.
ASJC Scopus subject areas
- Algebra and Number Theory