S. Panja

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math.GR2022

Hopf-Galois Realizability of $Z_{n} ⋊ Z_{2}$

Namrata Arvind, Saikat Panja

Let $G$ and $N$ be finite groups of order $2 n$ where $n$ is odd. We say the pair $(G, N)$ is Hopf-Galois realizable if $G$ is a regular subgroup of $\h(N)=N\rtimes\au(N)$. In this a…

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 $\f_2$.

Hopf-Galois Realizability of Zn​⋊Z2​

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

Hopf-Galois Realizability of $Z_{n} ⋊ Z_{2}$