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Published in: Journal of Algebra, vol. 322, num. 7, p. 2428-2432 Publication date: 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.

Keywords: Subgroup complexes ; Homotopy type of posets ; Solvable groups Reference CTG-ARTICLE-2009-003doi:10.1016/j.jalgebra.2009.07.009View record in Web of Science





Author: Bornand, David

Source: https://infoscience.epfl.ch/record/142228?ln=en







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