On the Asphericity of LOT-Presentations of Groups
S. V. Ivanov · Journal of Group Theory · 2005
Let U be an arbitrary word in letters x ±1 1 , …, x ±1 m and m ≥ 2. We prove that the group presentation 〈 x 1 , …, x m ∥ Ux 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.