Isabel Martin-Lyons

collaborators

3 papers

math.RA2024

Almost classical skew bracoids

Isabel Martin-Lyons

We investigate two sub-classes of skew bracoids, the first consists of those we term almost a brace, meaning the multiplicative group decomposes as a certain semi-direct product, a…

math.RA2024

Skew bracoids containing a skew brace

Ilaria Colazzo, Alan Koch, Isabel Martin-Lyons +1

Skew bracoids have been shown to have applications in Hopf-Galois theory. We show that a certain family of skew bracoids correspond bijectively with left cancellative semibraces. A…

math.NT2021

Hopf-Galois Structures on Non-Normal Extensions of Degree Related to Sophie Germain Primes

Nigel P. Byott, Isabel Martin-Lyons

We consider Hopf-Galois structures on separable (but not necessarily normal) field extensions $L / K$ of squarefree degree $n$ . If $E / K$ is the normal closure of $L / K$ then $G=\mathr…