A quotient group of the group of self homotopy equivalences of SO(4)

Abstract

The author studies the quotient group $¥mathscr{E}$(SO(4))/$¥mathscr{E}$_#(SO(4)), where $¥mathscr{E}$(SO(4)) is the group of homotopy classes of self homotopy equivalences of the rotation group SO(4) and $¥mathscr{E}$_#(SO(4)) is the subgroup of it consisting of elements that induce the identity on homotopy groups.