R. Underwood

collaborators

4 papers

math.RA2020

Hopf orders in $K [C_{p}^{3}]$ in characteristic $p$

Robert Underwood

Let $p$ be prime, let $K$ be a non-archimedean local field of characteristic $p$ and let $C_{p}^{3}$ denote the elementary abelian group of order $p^{3}$ . We give a complete classificati…

math.RA2020

Hopf Forms and Hopf-Galois Theory

Timothy Kohl, Robert Underwood

Let $K$ be a finite field extension of $\Q$ and let $N$ be a finite group with automorphism group $F=\Aut(N)$. R. Haggenmüller and B. Pareigis have shown that there is a bijection…

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…

Hopf orders in K[Cp3​] in characteristic p

Hopf Forms and Hopf-Galois Theory

Isomorphism problems for Hopf-Galois structures on separable field extensions

Normality and Short Exact Sequences of Hopf-Galois Structures

Hopf orders in $K [C_{p}^{3}]$ in characteristic $p$