L. Childs

activity

20172023

most citedBi-skew braces and Hopf Galois structures

23 citations · 23 across the 2 of their papers we have counts for

collaborators

Showing math.RAShow all

5 papers · 1 filter

math.RA2023

On the Galois correspondence ratio for Hopf-Galois extensions arising from nilpotent $F_{p}$ -algebras

Lindsay N. Childs

For a Hopf-Galois structure on a Galois extension $L / K$ of fields that arises from a finite nilpotent $F_{p}$ -algebra $A$ , we look at the Galois correspondence ratio, which…

math.RA2019

On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products

Lindsay N. Childs

Let $L / K$ be a $G$ -Galois extension of fields with an $H$ -Hopf Galois structure of type $N$ . We study the ratio $GC (G, N)$ , which is the number of intermediate fields $E$ with $K \…

math.RA2019★ 23 cited

Bi-skew braces and Hopf Galois structures

Lindsay N. Childs

We define a bi-skew brace to be a set $G$ with two group operations $⋆$ and $\circ$ so that $(G, \circ, ⋆)$ is a skew brace with additive group $(G, ⋆)$ and also with a…

math.RA2018

Skew braces and the Galois correspondence for Hopf Galois structures

Lindsay N. Childs

Let $L / K$ be a Galois extension of fields with Galois group $Γ$ , and suppose $L / K$ is also an $H$ -Hopf Galois extension. Using the recently uncovered connection between Hopf Galois…

math.RA2017

Bounds on the number of ideals in finite commutative nilpotent $F_{p}$ -algebras

Lindsay N. Childs, Cornelius Greither

Let $A$ be a finite commutative nilpotent $F_{p}$ -algebra structure on $G$ , an elementary abelian group of order $p^{n}$ . If $K / k$ is a Galois extension of fields with Galois…

On the Galois correspondence ratio for Hopf-Galois extensions arising from nilpotent Fp​-algebras

On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products

Bi-skew braces and Hopf Galois structures

Skew braces and the Galois correspondence for Hopf Galois structures

Bounds on the number of ideals in finite commutative nilpotent Fp​-algebras

On the Galois correspondence ratio for Hopf-Galois extensions arising from nilpotent $F_{p}$ -algebras

Bounds on the number of ideals in finite commutative nilpotent $F_{p}$ -algebras