We study the Fadell-Husseini index of the configuration space F(R-d, n) with respect to various subgroups of the symmetric group S-n. For p prime and k >= 1, we compute Index(Z/p)(F(R-d, p); F-p) and partially describe Index((Z/p))k (F(R-d, p(k)); F-p). In this process, we obtain results of independent interest, including: (1) an extended equivariant Goresky-MacPherson formula, (2) a complete description of the top homology of the partition lattice Pi(p) as an F-p[Z(p)]-module, and (3) a generalized Dold theorem for elementary abelian groups.
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