Quotients of the topology of the partition lattice which are not homotopy equivalent to wedges of spheres

Abstract

The reader of doi:10.1016/j.topol.2010.08.006 might conjecture that Δ(\barΠ_n)/G is homotopy equivalent to a wedge of spheres for any n>=3 and any subgroup G<S_n. We disprove this by showing that Δ(\barΠ_p)/C_p is not homotopy equivalent to a wedge of spheres for any prime number p>=5.

arXiv comment4 pages

Cited by in corpus (1)

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