Saikat Panja

activity

20232025

collaborators

6 papers

math.GR2025

Rational conjugacy classes and rational characters for some finite simple groups

Dilpreet Kaur, Saikat Panja

If $G$ is a finite group, an irreducible complex-valued character $χ$ is called rational if $χ (g)$ is rational for all $g \in G$ . Also, a conjugacy class $x^{G}$ is called rational, i…

math.GR2024

A survey on power maps in groups

Saikat Panja, Anupam Singh

The study of word maps on groups has been of deep interest in recent years. This survey focuses on the case of power maps on groups; $v i z .$ the map $x \mapsto x^{M}$ for a group $G$ ,…

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.GR2023

Cycle matrices: A combinatorial approach to the set-theoretic solutions of the Quantum Yang-Baxter Equation

Arpan Kanrar, Saikat Panja

An $n \times n$ matrix $M = [m_{ij}]$ with $m_{ij} \in U_{n} = {1, 2, \dots, n}$ will be called a cycle matrix if $(U_{n}, \cdot)$ is a cycle set, where $i \cdot j = m_{ij}$ . We study these matr…

math.GR2023

Acceptability of classical groups in non-zero characteristic

Saikat Panja

A group $G$ is called to be acceptable (due to M. Larsen) if for any finite group $H$ , two element-conjugate homomorphisms are globally conjugate. We answer the acceptability quest…

Rational conjugacy classes and rational characters for some finite simple groups

A survey on power maps in groups

Character covering number of PSL2​(q)

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

Cycle matrices: A combinatorial approach to the set-theoretic solutions of the Quantum Yang-Baxter Equation

Acceptability of classical groups in non-zero characteristic

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

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