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

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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.GR2014★ 8 cited

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

Timothy Kohl

For $Γ$ a group of order $m p$ for $p$ prime where $g c d (p, m) = 1$ , we consider those regular subgroups $N \leq P er m (Γ)$ normalized by $λ (Γ)$ , the left regular representation of $Γ$ . Th…