Homotopy Types of Orbit Spaces and Their Self-equivalences for the Periodic Groups
نویسنده
چکیده
Let G be a finite group given in one of the forms listed in the title with period 2d and X(n) an n-dimensional CW -complex with the homotopy type of an n-sphere. We study the automorphism group Aut (G) to compute the number of distinct homotopy types of orbit spaces X(2dn − 1)/μ with respect to free and cellular G-actions μ on all CW complexes X(2dn−1). At the end, the groups E(X(2dn−1)/μ) of self homotopy equivalences of orbit spaces X(2dn − 1)/μ associated with free and cellular G-actions μ on X(2dn − 1) are determined.
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