4 papers · 1 filter
Retractive transfers and p-local finite groups
Kari Ragnarsson
In this paper we explore the possibility of defining p-local finite groups in terms of transfer properties of their classifying spaces. More precisely, we consider the question pos…
A Segal conjecture for p-completed classifying spaces
Kari Ragnarsson
We formulate and prove a new variant of the Segal Conjecture describing the group of homotopy classes of stable maps from the p-completed classifying space of a finite group G to t…
Alternative stable homotopy classification of p-completed classifying spaces
Kari Ragnarsson
We give an alternative to the stable classification of p-completed homotopy types of classifying spaces of finite groups offered by Martino-Priddy. For a finite group G with Sylow…
Classifying spectra of saturated fusion systems
Kari Ragnarsson
The assignment of classifying spectra to saturated fusion systems was suggested by Linckelmann and Webb and has been carried out by Broto, Levi and Oliver. A more rigid (but equiva…