Communications of the
Korean Mathematical Society CKMS

For a based, 1-connected, finite CW-complex $X$, we denote by $\mathcal E(X)$ the group of homotopy classes of self-homotopy equivalences of $X$ and by $ {\mathcal E_{\#}}^{\dim+r}(X) $ the subgroup of homotopy classes which induce the identity on the homotopy groups of $X$ in dimensions $\leq \dim X + r$. In this paper, we calculate the subgroups $ {\mathcal E_{\#}}^{\dim + r}(X) $ when $X$ is a wedge of two Moore spaces determined by cyclic groups and in consecutive dimensions.

Keywords: self-homotopy equivalences, Moore spaces

MSC numbers: 55P10