Alan Koch

activity

20172022

most citedAbelian fixed point free endomorphisms and the Yang-Baxter equation

1 citations · 1 across the 4 of their papers we have counts for

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Showing 2017 · math.NTShow all

3 papers · 2 filters

math.NT2017

Isomorphism problems for Hopf-Galois structures on separable field extensions

Alan Koch, Timothy Kohl, Paul J. Truman +1

Let $L / K$ be a finite separable extension of fields whose Galois closure $E / K$ has group $G$ . Greither and Pareigis have used Galois descent to show that a Hopf algebra givin…

math.NT2017

Normality and Short Exact Sequences of Hopf-Galois Structures

Alan Koch, Timothy Kohl, Paul J. Truman +1

Every Hopf-Galois structure on a finite Galois extension $K / k$ where $G = G a l (K / k)$ corresponds uniquely to a regular subgroup $N \leq B = Perm (G)$ , normalized by $λ(G)\l…

math.NT2017

The Structure of Hopf Algebras Acting on Dihedral Extensions

Alan Koch, Timothy Kohl, Paul J. Truman +1

We discuss isomorphism questions concerning the Hopf algebras that yield Hopf-Galois structures for a fixed separable field extension $L / K$ . We study in detail the case where $L / K$ …