Quotients of the order complex $Δ(\barΠ_n)$ that are not homotopy equivalent to wedges of spheres

Details Quotients of the order complex $Δ(\barΠ_n)$ that are not homotopy equivalent to wedges of spheres Quotients of the order complex $Δ(\barΠ_n)$ that are not homotopy equivalent to wedges of spheres

2012-02-20

arxiv.org/abs/1202.4368v1

Mathematics

Algebraic Topology

Scientific paper

The reader of doi:10.1016/j.topol.2010.08.006 might conjecture that
\Delta(\bar{\Pi}_n)/G is homotopy equivalent to a wedge of spheres for any n>=3
and any subgroup G\Delta(\bar{\Pi}_p)/C_p is not homotopy equivalent to a wedge of spheres for
any prime number p>=5.

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