Timothy Kohl

activity

20022020

most citedHopf-Galois Structures Arising From Groups with Unique Subgroup of Order p

8 citations · 12 across the 9 of their papers we have counts for

collaborators

10 papers

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.GR2020

Mutually Normalizing Regular Permutation Groups and Zappa-Szep Extensions of the Holomorph

Timothy Kohl

For a group $G$ , embedded in its group of permutations $B = P er m (G)$ via the left regular representation $λ : G \to B$ , the normalizer of $λ (G)$ in $B$ is $\operatorname{Hol}(G)…

math.GR2019

Enumerating Dihedral Hopf-Galois Structures Acting on Dihedral Extensions

Timothy Kohl

The work of Greither and Pareigis details the enumeration of the Hopf-Galois structures (if any) on a given separable field extension. For an extension $L / K$ which is classically G…

math.GR2018

Characteristic Subgroup Lattices and Hopf-Galois Structures

Timothy Kohl

The Hopf-Galois structures on normal extensions $K / k$ with $G = G a l (K / k)$ are in one-to-one correspondence with the set of regular subgroups $N \leq B = P er m (G)$ that are normalized by…

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…