Namrata Arvind

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20212024

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math.RA2021

On $Z_{N} ⋊ Z_{2}$ -Hopf-Galois structures

Namrata Arvind, Saikat Panja

Let $K / F$ be a finite Galois extension of fields with $G a l (K / F) = Γ$ . In an earlier work of Timothy Kohl, the author enumerated dihedral Hopf-Galois structures acting on dihedral ext…

math.GR2021

Unit group of $\f_{p^k}\SL(3,2),p\geq 11$

Namrata Arvind, Saikat Panja

We provide the structure of the unit group of $\f_{p^k}(\SL(3,2))$, where $p \geq 11$ is a prime and $\SL(3,2)$ denotes the $3 \times 3$ invertible matrices over $\f_2$.

On ZN​⋊Z2​-Hopf-Galois structures

Unit group of $\f_{p^k}\SL(3,2),p\geq 11$

On $Z_{N} ⋊ Z_{2}$ -Hopf-Galois structures