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20052026
most citedWeight conjectures for fusion systems

13 citations · 32 across the 26 of their papers we have counts for

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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.RT2026

On the p-part of the conductor of a generalised character

Markus Linckelmann

We show that the -part of the conductor of a generalised character of a finite group is equal to the conductor of its generalised decomposition numbers. We use this to show that…

math.RT2025

On character degrees of cyclic and Klein four defect blocks

Markus Linckelmann

We show that a conjecture of Giannelli on character degrees of height zero characters holds for blocks with a cyclic or Klein four defect group.

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

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.RT2023

Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings

Markus Linckelmann

We show that dualising transfer maps in Hochschild cohomology of symmetric algebras over complete discrete valuations rings commutes with Tate duality. This is analogous to a simil…