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.
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