activity
20052026
most citedWeight conjectures for fusion systems

13 citations · 49 across the 28 of their papers we have counts for

collaborators

41 papers

math.RT2026

On -blocks with quaternion defect groups

Charles Eaton, Florian Eisele, Radha Kessar +2

We determine the Morita equivalence classes of -blocks with quaternion defect groups of arbitrary -power order, thereby completing the proof of Donovan's conjecture for block…

math.RT2025

The source permutation module of a block of a finite group algebra

Radha Kessar, Markus Linckelmann

For a finite group, a field of prime characteristic , and a Sylow -subgroup of , the Sylow permutation module plays a role in diverse fac…

math.RT2025

Partial character tables for -spetses

Radha Kessar, Gunter Malle, Jason Semeraro

Let be a simply connected -spets, let be a prime power, prime to and let be the underlying Sylow -subgroup. Firstly, motivate…

math.RT2025

Weight conjectures for fusion systems on an extraspecial group

Radha Kessar, Markus Linckelmann, Justin Lynd +1

In a previous paper, we stated and motivated counting conjectures for fusion systems that are purely local analogues of several local-to-global conjectures in the modular represent…

math.RT2024

Weight conjectures for Parker--Semeraro fusion systems

Radha Kessar, Jason Semeraro, Patrick Serwene +1

We prove that the Parker--Semeraro systems satisfy six of the nine Kessar--Linckelmann--Lynd--Semeraro weight conjectures for saturated fusion systems. As a by-product we obtain th…

math.RT2023

Jordan correspondence and block distribution of characters

Radha Kessar, Gunter Malle

We complete the determination of the -block distribution of characters for quasi-simple exceptional groups of Lie type up to some minor ambiguities relating to non-uniqueness…