On solvability of certain equations of arbitrary length over torsion-free groups

M. Fazeel Anwar, Mairaj Bibi, M. Saeed Akram

Let $G$ be a non-trivial torsion free group and $s(t)=g_1{t}^{{\epsilon }_1}{g}_2{t}^{{\epsilon }_2}\cdots g_n{t}^{{\epsilon }_n}=1(g_i\in G,{\epsilon }_i=\pm 1)$ be an equation over $G$ containing no block…