Stephen P. Humphries

activity

20042021

most citedOn Schur Rings Over Infinite Groups

6 citations · 6 across the 3 of their papers we have counts for

collaborators

8 papers

math.GR2021

Strong Gelfand Pairs of SL(2,p)

Andrea Barton, Stephen P. Humphries

A strong Gelfand pair (G,H) is a group G together with a subgroup H such that every irreducible character of H induces a multiplicity-free character of G. We classify the strong Ge…

math.GR2021

Difference sets disjoint from a subgroup II: groups of order $4 p^{2}$

Stephen P. Humphries, Nathan L. Nicholson

We study finite groups $G$ having a normal subgroup $H$ and $D \subset G ∖ H, D \cap D^{- 1} = \emptyset,$ such that the multiset ${x y^{- 1} : x, y \in D}$ has every non-identi…

math.GR2018★ 6 cited

On Schur Rings Over Infinite Groups

Nicholas Bastian, Jaden Brewer, Andrew Misseldine

Schur rings are a type of subring of the group ring that is spanned by a partition of the group that meets certain conditions. Past literature has exclusively focused on the finite…

math.GR2017

Difference sets disjoint from a subgroup

Courtney Hoagland, Stephen P. Humphries, Seth Poulsen

We study finite groups $G$ having a subgroup $H$ and $D \subset G ∖ H$ such that the multiset ${x y^{- 1} : x, y \in D}$ has every non-identity element occur the same number…

math.DS2016

Points with finite orbits for trace maps

Stephen Humphries

We study an action of $Aut (F_{n})$ on $R^{2^{n} - 1}$ by trace maps, defined using the traces of $n$ -tuples of matrices in $SL (2, C)$ having real traces.…

math.GR2016

Weak Cayley table groups of some crystallographic groups

Stephen P. Humphries, Rebeca A. Paulsen

For a group $G$ , a weak Cayley isomorphism is a bijection $f : G \to G$ such that $f (g_{1} g_{2})$ is conjugate to $f (g_{1}) f (g_{2})$ for all $g_{1}, g_{2} \in G$ . They form a group $\mathcal W(G…