Paul J. Truman

activity

20142023

collaborators

3 papers

math.GR2023

Skew bracoids

Isabel Martin-Lyons, Paul J. Truman

Skew braces are intensively studied owing to their wide ranging connections and applications. We generalize the definition of a skew brace to give a new algebraic object, which we…

math.NT2022

On $ρ$ -conjugate Hopf-Galois structures

Paul J. Truman

The Hopf-Galois structures admitted by a Galois extension of fields $L / K$ with Galois group $G$ correspond bijectively with certain subgroups of $Perm (G)$ . We use a…

math.NT2014

Canonical Nonclassical Hopf-Galois Module Structure of Nonabelian Galois Extensions

Paul J Truman

Let $L / K$ be a finite Galois extension of local or global fields in characteristic $0$ or $p$ with nonabelian Galois group $G$ , and let $B$ be a $G$ -stable fractional i…

Skew bracoids

On ρ-conjugate Hopf-Galois structures

Canonical Nonclassical Hopf-Galois Module Structure of Nonabelian Galois Extensions

On $ρ$ -conjugate Hopf-Galois structures