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An approach to Quillen's conjecture via centralisers of simple groups
(Cambridge University Press, 2021-06)
For any given subgroup H of a finite group G, the Quillen poset of nontrivial elementary abelian p-subgroups is obtained from by attaching elements via their centralisers in H. We exploit this idea to study Quillen's ...
Eliminating components in Quillen's conjecture
(Academic Press Inc Elsevier Science, 2022-06-16)
We generalize an earlier result of Segev, which shows that some component in a minimal counterexample to Quillen's conjecture must admit an outer automorphism. We show in fact that every component must admit an outer ...
Quillen-Suslin Rings
In this paper we introduce the Quillen-Suslin rings and investigate its relation with some other classes of rings as Hermite rings (each stably free module is free), PSF rings (each finitely generated projective module is ...
Informe sobre las Áreas de Reserva N°42 Lago Quillen y N°55 Los Maitenes-El Salvaje. Plan Centro Geológico Minero
(Dirección General de Fabricaciones Militares. Dirección General de Minería de la provincia de Neuquén; Banco Nacional de Desarrollo, 1973)
Informe Final de Prospección de Zona Cerro de las Caballadas. Área de Reserva nro. 42, Lago Quillén, Provincia del Neuquén
(Ministerio de Defensa. Dirección General de Fabricaciones Militares. Centro de Exploración Geológico-Minera I, 1976)
Modelos homotópicos que representan la homotopía estable
(Universidad Nacional de Ingeniería, 2020)
Modelos homotópicos que representan la homotopía estable
(Universidad Nacional de Ingeniería, 2020)
Acyclic 2-dimensional complexes and Quillen's conjecture
(Universitat Autònoma de Barcelona, 2019-10)
Let G be a finite group and Ap(G) be the poset of nontrivial elementary abelian p-subgroups of G. Quillen conjectured that Op(G) is nontrivial if Ap(G) is contractible. We prove that Op(G) 6= 1 for any group G admitting a ...
Homotopy colimits of diagrams over posets and variations on a theorem of Thomason
(International Press Boston, 2016-01)
We use a classical result of McCord and reduction methods of finite spaces to prove a generalization of Thomason's theorem on homotopy colimits over posets. In particular, this allows us to characterize the homotopy colimits ...