Bornand, David2009-11-092009-11-092009-11-09200910.1016/j.jalgebra.2009.07.009https://infoscience.epfl.ch/handle/20.500.14299/44098WOS:000272261400010We 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 complexesHomotopy type of posetsSolvable groupsCounterexamples to a fiber theoremtext::journal::journal article::research article