Paul J. Truman

activity

20102026

most citedTowards a Generalisation of Noether's Theorem to Nonclassical Hopf-Galois Structures

5 citations · 17 across the 14 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

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★ 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 $L / K$ . We study in detail the case where $L / K$ …

math.NT2017

Commutative Hopf-Galois module structure of tame extensions

Paul J. Truman

We prove three theorems concerning the Hopf-Galois module structure of fractional ideals in a finite tamely ramified extension of $p$ -adic fields or number fields which is $H$ -…