Bornand, David
Counterexamples to a fiber theorem
Journal of Algebra
Journal of Algebra
Journal of Algebra
Journal of Algebra
322
7
Subgroup complexes
Homotopy type of posets
Solvable groups
2009
2009
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.
Journal of Algebra
Journal Articles
10.1016/j.jalgebra.2009.07.009