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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…