TY - JOUR
T1 - Some Properties of Aut$_∗(X)$ and the Subgroup Aut$_Σ(X)$
AU - Qian , Youhua
AU - Chen , Shengmin
JO - Communications in Mathematical Research 
VL - 2
SP - 97
EP - 103
PY - 2021
DA - 2021/06
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19291.html
KW - self-homotopy equivalences, the wedge space, reducible.
AB - <p style="text-align: justify;">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$_Σ(X)$.</p>