most citedThe Structure of Hopf Algebras Acting on Dihedral Extensions

4 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.RA2020

Hopf orders in in characteristic

Robert Underwood

Let be prime, let be a non-archimedean local field of characteristic and let denote the elementary abelian group of order . We give a complete classificati…

math.RA2020

Hopf Forms and Hopf-Galois Theory

Timothy Kohl, Robert Underwood

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

cs.FL2017

A Class of Automatic Sequences

Michel Rigo, Robert Underwood

Let . We prove that the characteristic sequence of a regular language over a -letter alphabet is -automatic. More generally, if and are multiplicativel…

math.NT2017

Isomorphism problems for Hopf-Galois structures on separable field extensions

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

Let be a finite separable extension of fields whose Galois closure has group . 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 where corresponds uniquely to a regular subgroup , normalized by $λ(G)\l…

math.NT2017★ 4 cited

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 . We study in detail the case where …