Justin Lynd

activity

20232026

most citedPartial groups as symmetric simplicial sets

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.GR2026

Modules with few Jordan blocks for rank $1$ groups of Lie type and related groups

Valentina Grazian, Justin Lynd, Chris Parker +2

Suppose that $p$ is a prime and $X$ is a finite group with a strongly $p$ -embedded subgroup, for example a rank $1$ group of Lie type in characteristic $p$ . Let $m$ denote the $p$ -…

math.GR2026

Binary partial groups

Philip Hackney, Justin Lynd, Edoardo Salati

There are many examples of `binary' partial groups in the literature: sets equipped an identity and a partially-defined binary operation, such that each element admits an inverse.…

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.GR2026

Embeddable partial groups

Philip Hackney, Justin Lynd, Edoardo Salati

We record a folklore theorem that says a partial group embeds in a group if and only if each word has at most one possible multiplication, regardless of choice of parenthesization.…

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 $p \in {2, 3}$ 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…

math.GR2023

Cohomology on the centric orbit category of a fusion system

George Glauberman, Justin Lynd

We study here the higher derived limits of mod $p$ cohomology on the centric orbit category of a saturated fusion system on a finite $p$ -group. It is an open problem whether all su…

math.GR2023★ 1 cited

Partial groups as symmetric simplicial sets

Philip Hackney, Justin Lynd

We give a new characterization of partial groups as a subcategory of symmetric (simplicial) sets. This subcategory has an explicit reflection, which permits one to compute colimits…

Modules with few Jordan blocks for rank 1 groups of Lie type and related groups

Binary partial groups

Splitting the center of a Sylow subgroup

Embeddable partial groups

Higher Segal spaces and partial groups

Weight conjectures for fusion systems on an extraspecial group

Components and realizability of fusion systems

Cohomology on the centric orbit category of a fusion system

Partial groups as symmetric simplicial sets

Modules with few Jordan blocks for rank $1$ groups of Lie type and related groups