Given a finite group G, let C(G) be the set of all cosets of all proper subgroups of G, ordered by inclusion. In joint work with Russ Woodroofe, we show that the order complex of C(G) is not acyclic in characteristic two, and therefore not contractible. This answers a question of K. S. Brown. Our proof uses P. A. Smith Theory and the Classificat...
Shareshian, John (Washington University)
University of Minnesota, Institute for Mathematics and its Applications.