The group of self-homotopy equivalences of <i>A</i> <sub> <i>n</i> </sub> <sup>2</sup>-polyhedra
The group of self-homotopy equivalences of <i>A</i> <sub> <i>n</i> </sub> <sup>2</sup>-polyhedra
Let $X$ be a finite type $A_n^2$-polyhedron, $n \geq 2$. In this paper we study the quotient group $\mathcal{E}(X)/\mathcal{E}_*(X)$, where $\mathcal{E}(X)$ is the group of self-homotopy equivalences of $X$ and $\mathcal{E}_*(X)$ the subgroup of self-homotopy equivalences inducing the identity on the homology groups of $X$. We show that not every …