40 citations · 159 across the 22 of their papers we have counts for
6 papers · 1 filter
Loop space homology of a small category
Carles Broto, Ran Levi, Bob Oliver
In a 2009 paper, Dave Benson gave a description in purely algebraic terms of the mod homology of , when is a finite group, is the -completi…
An algebraic model for finite loop spaces
Carles Broto, Ran Levi, Bob Oliver
The theory of p-local compact groups, developed in an earlier paper by the same authors, is designed to give a unified framework in which to study the p-local homotopy theory of cl…
Reduced, tame and exotic fusion systems
Kasper K. S. Andersen, Bob Oliver, Joana Ventura
We define here two new classes of saturated fusion systems, reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for…
Extension of p-local finite groups
Carles Broto, Natalia Castellana, Jesper Grodal +2
A p-local finite group consists of a finite p-group S, together with a pair of categories which encode ``conjugacy'' relations among subgroups of S, and which are modelled on the f…
Subgroup families controlling p-local finite groups
Carles Broto, Natalia Castellana, Jesper Grodal +2
A p-local finite group consists of a finite p-group S, together with a pair of categories which encode ``conjugacy'' relations among subgroups of S, and which are modelled on the f…
Construction of 2-local finite groups of a type studied by Solomon and Benson
Ran Levi, Bob Oliver
A p-local finite group is an algebraic structure with a classifying space which has many of the properties of p-completed classifying spaces of finite groups. In this paper, we con…