Namrata Arvind

activity

20212024

collaborators

5 papers

math.GR2024

Character covering number of $PSL_{2} (q)$

Namrata Arvind, Saikat Panja

For a group $G$ and a character $χ$ of $G$ , let $c (χ)$ denote the set of all irreducible characters of $G$ , occurring in $χ$ . We prove that whenever $q \geq 8$ , all non-trivial irre…

math.GR2023

Hopf Galois structures, skew braces for groups of size $p^{n} q$ : The cyclic Sylow subgroup case

Namrata Arvind, Saikat Panja

Let $n \geq 1$ be an integer, $p$ , $q$ be distinct odd primes. Let $G$ , $N$ be two groups of order $p^{n} q$ with their Sylow- $p$ -subgroups being cyclic. We enumerate the Hopf-Galois…

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.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 $\f_2$.

Character covering number of PSL2​(q)

Hopf Galois structures, skew braces for groups of size pnq: The cyclic Sylow subgroup case

Hopf-Galois Realizability of Zn​⋊Z2​

On ZN​⋊Z2​-Hopf-Galois structures

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

Character covering number of $PSL_{2} (q)$

Hopf Galois structures, skew braces for groups of size $p^{n} q$ : The cyclic Sylow subgroup case

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

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