Stacey Law

activity

20172026

most citedSylow branching coefficients for symmetric groups

8 citations · 12 across the 10 of their papers we have counts for

collaborators

14 papers

math.RT2026

On a conjecture of Hung, Martínez and Navarro

Stacey Law

In this note, we prove a recent conjecture of Hung, Martínez and Navarro on the sums of character degrees of finite groups.

math.RT2025

Minimal numbers of linear constituents in Sylow restrictions for symmetric groups

Bim Gustavsson, Stacey Law

Let $p$ be any prime. We determine precisely those irreducible characters of symmetric groups which contain at most $p$ distinct linear constituents in their restriction to a Sylow…

math.RT2025★ 1 cited

Degrees and prime power order zeros of characters of symmetric and alternating groups

Eugenio Giannelli, Stacey Law, Eoghan McDowell

We show that the $p$ -part of the degree of an irreducible character of a symmetric group is completely determined by the set of vanishing elements of $p$ -power order. As a corollar…

math.GR2025★ 1 cited

On the number and sizes of double cosets of Sylow subgroups of the symmetric group

Persi Diaconis, Eugenio Giannelli, Robert M. Guralnick +4

Let $P_{n}$ be a Sylow $p$ -subgroup of the symmetric group $S_{n}$ . We investigate the number and sizes of the $P_{n} ∖ S_{n} / P_{n}$ double cosets, showing that most double cosets…

math.RT2024

Sylow branching trees for symmetric groups

Eugenio Giannelli, Stacey Law

Let $p \geq 5$ be a prime and let $P$ be a Sylow $p$ -subgroup of a finite symmetric group. To every irreducible character of $P$ we associate a collection of labelled, complete $p$ -a…

math.RT2023★ 1 cited

Positivity of Sylow branching coefficients of symmetric groups

Stacey Law

In this article we investigate the positivity of Sylow branching coefficients for symmetric groups when $p = 3$ . In particular, we complete the discussion begun by Giannelli and th…

math.CO2022

Some stable plethysms

Stacey Law, Yuji Okitani

In this note, we prove some new stability results for plethysm coefficients. As special cases, we verify a conjecture of Wildon, and show the stability of sequences recently predic…

math.RT2021

On plethysms and Sylow branching coefficients

Stacey Law, Yuji Okitani

We prove a recursive formula for plethysm coefficients of the form $a_{λ, (m)}^{μ}$ , generalising results on plethysms due to Bruns--Conca--Varbaro and de Boeck--Paget--Wildon. From t…

math.RT2021

Torsion pairs and Ringel duality for Schur algebras

Karin Erdmann, Stacey Law

Let $A$ be a finite-dimensional algebra over a field of characteristic $p > 0$ . We use a functorial approach involving torsion pairs to construct embeddings of endomorphism algebras…

math.RT2021

Sylow branching coefficients and a conjecture of Malle and Navarro

Eugenio Giannelli, Stacey Law, Jason Long +1

We prove that a finite group $G$ has a normal Sylow $p$ -subgroup $P$ if, and only if, every irreducible character of $G$ appearing in the permutation character $(1_{P})^{G}$ with…

math.RT2020

Linear characters of Sylow subgroups of symmetric groups

Eugenio Giannelli, Stacey Law, Jason Long

Let $p$ be any prime. Let $P_{n}$ be a Sylow $p$ -subgroup of the symmetric group $S_{n}$ . Let $ϕ$ and $ψ$ be linear characters of $P_{n}$ and let $N$ be the normaliser of $P_{n}$ in $S_{n}$ .…

math.RT2019★ 8 cited

Sylow branching coefficients for symmetric groups

Eugenio Giannelli, Stacey Law

Let $p \geq 5$ be a prime and let $n$ be a natural number. In this article we describe the irreducible constituents of the induced characters $ϕ ⏐ ↑^{S_{n}}$ for arb…

math.RT2017★ 1 cited

On permutation characters and Sylow $p$ -subgroups of $S_{n}$

Eugenio Giannelli, Stacey Law

Let $p$ be an odd prime and let $n$ be a natural number. In this article we determine the irreducible constituents of the permutation module induced by the action of the symmetric…

math.RT2017

On the $p^{'}$ -subgraph of the Young graph

Eugenio Giannelli, Stacey Law, Stuart Martin

Let $p$ be a prime number. In this article we study the restriction to $S_{n - 1}$ of irreducible characters of degree coprime to $p$ of $S_{n}$ . In particular, w…

On a conjecture of Hung, Martínez and Navarro

Minimal numbers of linear constituents in Sylow restrictions for symmetric groups

Degrees and prime power order zeros of characters of symmetric and alternating groups

On the number and sizes of double cosets of Sylow subgroups of the symmetric group

Sylow branching trees for symmetric groups

Positivity of Sylow branching coefficients of symmetric groups

Some stable plethysms

On plethysms and Sylow branching coefficients

Torsion pairs and Ringel duality for Schur algebras

Sylow branching coefficients and a conjecture of Malle and Navarro

Linear characters of Sylow subgroups of symmetric groups

Sylow branching coefficients for symmetric groups

On permutation characters and Sylow p-subgroups of Sn​

On the p′-subgraph of the Young graph

On permutation characters and Sylow $p$ -subgroups of $S_{n}$

On the $p^{'}$ -subgraph of the Young graph