@Article{CMR-25-2, author = {Youhua, Qian and Shengmin, Chen}, title = {Some Properties of Aut$_∗(X)$ and the Subgroup Aut$_Σ(X)$}, journal = {Communications in Mathematical Research }, year = {2009}, volume = {25}, number = {2}, pages = {97--103}, abstract = {

Let Aut$_∗(X)$ denote the group of homotopy classes of self-homotopy equivalences of $X$, which induce identity automorphisms of homology group. We describe a decomposition of Aut$_∗(X_1∨· · ·∨X_n)$ as a product of its simpler subgroups. We consider the subgroup Aut$_Σ(X)$ of all self homotopy classes α of $X$ such that $Σα = 1_{ΣX} : ΣX → ΣX$, and also give some properties of Aut$_Σ(X)$.

}, issn = {2707-8523}, doi = {https://doi.org/2009-CMR-19291}, url = {https://global-sci.com/article/81933/some-properties-of-aut-x-and-the-subgroup-aut-sx} }