Quillen's plus construction and the D(2) problem

Autor:	W. H. Mannan
Jazyk:	angličtina
Rok vydání:	2009
Předmět:	Normal subgroup Finite group 19D06 Homotopy Quillen adjunction Cohomological dimension Mathematics::Algebraic Topology Combinatorics Plus construction 57M20 Mathematics::K-Theory and Homology 57M05 Geometry and Topology D2 problem Mathematics Quillen plus construction
Zdroj:	Algebr. Geom. Topol. 9, no. 3 (2009), 1399-1411
Popis:	Given a finite connected [math] –complex with cohomological dimension 2, we show it may be constructed up to homotopy by applying the Quillen plus construction to the Cayley complex of a finite group presentation. This reduces the D(2) problem to a question about perfect normal subgroups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6bea7c2f356927cf6509bd3860af128 https://projecteuclid.org/euclid.agt/1513797033 Zobrazit plný text záznamu