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Let      G G       be a finite group. By a Moore      G G      -space we mean a      G G      -space      X X       such that for each subgroup      H H       of      G G       the fixed point space      X H {X^H}       is a Moore space of type      ( M H , n ) ({M_H},n)      , where      n &gt; 1 n &gt; 1       is a fixed integer and      M H {M_H}       are abelian groups. In this paper it is shown that there exist infinitely many non-     G G      -homotopy equivalent Moore      G G      -spaces of certain given type.

Non-𝐺-equivalent Moore 𝐺-spaces of the same type