Add to ORKGOne way to understand the mod p homotopy theory of classifying spaces of finite groups is to compute their BZ/p-cellularization. In the easiest cases this is a classifying space of a finite group (always a finite p-group). If not, we show that it has infinitely many non-trivial homotopy groups. Moreover they are either p-torsion free or else infinitely many of them contain p-torsion. By means of techniques related to fusion systems we exhibit concrete examples where p-torsion appears and compute explicitly the cellularization
AbstractFix a prime p. A mod-p homotopy group extension of a group π by a group G is a fibration wit...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
Abstract. A p-local nite group consists of a nite p-group S, together with a pair of categories whic...
One way to understand the mod p homotopy theory of classifying spaces of finite groups is to compute...
In this paper we obtain a description of the BZ/p-cellularization (in the sense of Dror-Farjoun) of...
Abstract. We present a constructive method to compute the cellularization with respect to BmZ/p for ...
A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, who...
A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, who...
In this note we discuss the effect of the BZ/p-nullification PBZ/p and the BZ/p-cellularization CWBZ...
Let G be a finite group and p a prime dividing its order. A homology decomposition of a classifying ...
The classifying space BG of a topological group G can be filtered by a sequence of subspaces B(q,G)...
The classifying space BG of a topological group G can be filtered by a sequence of subspaces B(q,G)...
The goal of this thesis is to demonstrate that the geometric realization of the central linking syst...
AbstractWe give an alternative to the stable classification of p-completed homotopy types of classif...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
AbstractFix a prime p. A mod-p homotopy group extension of a group π by a group G is a fibration wit...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
Abstract. A p-local nite group consists of a nite p-group S, together with a pair of categories whic...
One way to understand the mod p homotopy theory of classifying spaces of finite groups is to compute...
In this paper we obtain a description of the BZ/p-cellularization (in the sense of Dror-Farjoun) of...
Abstract. We present a constructive method to compute the cellularization with respect to BmZ/p for ...
A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, who...
A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, who...
In this note we discuss the effect of the BZ/p-nullification PBZ/p and the BZ/p-cellularization CWBZ...
Let G be a finite group and p a prime dividing its order. A homology decomposition of a classifying ...
The classifying space BG of a topological group G can be filtered by a sequence of subspaces B(q,G)...
The classifying space BG of a topological group G can be filtered by a sequence of subspaces B(q,G)...
The goal of this thesis is to demonstrate that the geometric realization of the central linking syst...
AbstractWe give an alternative to the stable classification of p-completed homotopy types of classif...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
AbstractFix a prime p. A mod-p homotopy group extension of a group π by a group G is a fibration wit...
A saturated fusion system over a finite $p$-group $S$ is a category whose objects are the subgroups ...
Abstract. A p-local nite group consists of a nite p-group S, together with a pair of categories whic...