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math.GR2025
Higher Segal spaces and partial groups
Philip Hackney, Justin Lynd
The d-Segal conditions of Dyckerhoff and Kapranov are exactness properties for simplicial objects based on the geometry of cyclic polytopes in d-dimensional Euclidean space. 2-Sega…
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.GR2025
Components and realizability of fusion systems
Ellen Henke, Justin Lynd
For it is known that a saturated -fusion system is realizable if and only if each of its components is realizable by a finite simple group. For primes th…