Justin Lynd

collaborators

3 papers

math.GR2026

Splitting the center of a Sylow subgroup

George Glauberman, Justin Lynd

Suppose $p$ is a prime and $S$ is a Sylow $p$ -subgroup of a finite group $G$ . If $S$ is normal in $G$ , then $Z (S)$ is the direct product of $S \cap Z (G)$ with $[Z (S), G]$ . We prove…

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.GR2025

Components and realizability of fusion systems

Ellen Henke, Justin Lynd

For $p \in {2, 3}$ it is known that a saturated $p$ -fusion system is realizable if and only if each of its components is realizable by a finite simple group. For primes $p \geq 5$ th…