A fusion system over a p-group S is a category whose objects form the set of all subgroups
of S, whose morphisms are certain injective group homomorphisms, and which satisfies …

Fusion systems are a recent development in finite group theory and sit at the intersection of
algebra and topology. This book is the first to deal comprehensively with this new and …

The classification of the finite simple groups is considered as one of the greatest
achievements in mathematics of the twentieth century. The result provides the most basic …

Fusion systems were introduced by L. Puig in the early 1990's as a common framework for
fusion systems of finite groups or p-blocks of finite groups. Benson [3] suggested that every …

This is a survey article on the theory of fusion systems, a relatively new area of mathematics
with connections to local finite group theory, algebraic topology, and modular representation …

We give a new characterization of saturated fusion systems on ap–group S in terms of
idempotents in the p–local double Burnside ring of S that satisfy a Frobenius reciprocity …

Let p be a prime number, G a finite group, P a p-subgroup of G and k an algebraically closed
field of characteristic p. We study the relationship between the category FP (G) and the …

On the definition of saturated fusion systems Page 1 J. Group Theory 12 (2009), 679–687 DOI
10.1515/JGT.2009.003 Journal of Group Theory ( de Gruyter 2009 On the definition of …

For $ p $ an odd prime, we generalise the Glauberman-Thompson $ p $-nilpotency theorem
(Gorenstein, 1980) to arbitrary fusion systems. We define a notion of $ Qd (p) $-free fusion …

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 …