Bornand, David
Counterexamples to a fiber theorem
Journal of Algebra
10.1016/j.jalgebra.2009.07.009
322
7
2428-2432
We exhibit a counterexample to a fiber theorem stated by F. Fumagalli [J. Algebra 283 (2) (2005), 639-654] and show how it affects the rest of Fumagalli's paper. As a consequence, whether the poset A_p(G) is homotopy equivalent to a wedge of spheres for any finite solvable group G seems to remain an open question.
Subgroup complexes;
Homotopy type of posets;
Solvable groups;
2009
http://infoscience.epfl.ch/record/142228/files/Bornand-fiber-theorem.pdf;