B. Williams

activity

20242026

collaborators

4 papers

math.NT2026

The degrees of irreducible factors of binomials and multiplicativity of the n-Hartley condition

Matthew Bolan, Ben Williams

We prove that the degrees of irreducible factors of a binomial $t^{n} - α$ are divisible by the least such degree. As a consequence, we deduce that for relatively prime natural numbers…

math.RA2025

Realizing orders in rational sphere product algebras with three generators

Tseleung So, Donald Stanley, Stephen Theriault +1

The realization problem asks which algebras can be realized as the cohomology of spaces. We study this problem in the context of the orders in a graded rational exterior algebra on…

math.RA2024

Counterexamples in Involutions of Azumaya Algebras

Uriya First, Ben Williams

Suppose $A$ is an Azumaya algebra over a ring $R$ and $σ$ is an involution of $A$ extending an order- $2$ automorphism $λ : R \to R$ . We say $σ$ is extraordinary if there does not exis…

math.GR2024

Linear and smooth oriented equivalence of orthogonal representations of finite groups

Luis Eduardo García-Hernández, Ben Williams

Let $n \leq 5$ be an integer, and let $Γ$ be a finite group. We prove that if $ρ, ρ^{'} : Γ \to O (n)$ are two representations that are conjugate by an orientation-preserving diffeomorphis…