10 citations · 13 across the 8 of their papers we have counts for
11 papers
On the cohomology of pro-fusion systems
Antonio Díaz Ramos, Oihana Garaialde Ocaña, Nadia Mazza +1
We prove the Cartan-Eilenberg stable elements theorem and construct a Lyndon-Hochschild-Serre type spectral sequence for pro-fusion systems. As an application, we determine the con…
Realizing fusion systems inside finite groups
Sejong Park
We show that every (not necessarily saturated) fusion system can be realized as a full subcategory of the fusion system of a finite group. This result extends our previous work \ci…
The subgroup homology decomposition for fusion systems is sharp
Antonio Díaz, Sejong Park
We extend Dwyer's sharp subgroup homology decomposition of the classifying space of a finite group to arbitrary saturated fusion systems and arbitrary Mackey functors.
Mislin's theorem for fusion systems via Mackey functors
Sejong Park
We state and prove a fusion system version of Mislin's theorem \cite{Mislin1990} on cohomology and control of fusion, following Symonds's proof \cite{Symonds2004} of Mislin's theor…
Counting conjugacy classes of cyclic subgroups for fusion systems
Sejong Park
We give another proof of an observation of Thévenaz \cite{T1989} and present a fusion system version of it. Namely, for a saturated fusion system $\CF$ on a finite -group , w…
Mackey functors and sharpness for fusion systems
Antonio Díaz, Sejong Park
We develop the fundamentals of Mackey functors in the setup of fusion systems including an acyclicity condition as well as a parametrization and an explicit description of simple M…