Alan Koch

activity

20102022

most citedScaffolds and integral Hopf Galois module structure on purely inseparable extensions

5 citations · 14 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GR2020

Abelian maps, bi-skew braces, and opposite pairs of {H}opf-{G}alois structures

Alan Koch

Let $G$ be a finite nonabelian group, and let $ψ : G \to G$ be a homomorphism with abelian image. We show how $ψ$ gives rise to two Hopf-Galois structures on a Galois extension $L / K$ …

math.GR2020★ 1 cited

Abelian fixed point free endomorphisms and the Yang-Baxter equation

Alan Koch, Laura Stordy, Paul J. Truman

We obtain a simple family of solutions to the set-theoretic Yang-Baxter equation, one which depends only on considering special endomorphisms of a finite group. We show how such an…

math.GR2020

Skew left braces and isomorphism problems for Hopf-Galois structures on Galois extensions

Alan Koch, Paul J. Truman

Given a finite group $G$ , we study certain regular subgroups of the group of permutations of $G$ , which occur in the classification theories of two types of algebraic objects:…