Rijubrata Kundu

activity

20202026

most citedGenerating functions for the powers in

GL (n, q)

5 citations · 9 across the 12 of their papers we have counts for

collaborators

13 papers

math.RT2026

A Morris recursion rule for values of the spin characters of wreath products

Rijubrata Kundu, Papi Ray

The classical Murnaghan-Nakayama rule is a recursive formula for computing the values of complex irreducible characters of the symmetric group $S_{n}$ . Alun Morris proved a recursive…

math.GR2026

On Conjugacy Classes of Derangements in Symmetric and Alternating Groups

Harish Kishnani, Rijubrata Kundu

In this article, we prove two conjectures of Burness and Fusari [Timothy Burness and Marco Fusari, On derangements in simple permutation groups, Forum Math. Sigma 13 (2025)] concer…

math.CO2025

A Relationship Between Character Values Of Wreath Products And The Symmetric Group

Rijubrata Kundu, Papi Ray

A relation between certain irreducible character values of the hyperoctahedral group $B_{n}$ ( $Z /2 Z ≀ S_{n}$ ) and the symmetric group $S_{2 n}$ was proved by F. Lübe…

math.RT2024

Covering Numbers of Some Irreducible Characters of the Symmetric Group

Rijubrata Kundu, Velmurugan S

The covering number of a non-linear character $χ$ of a finite group $G$ is the least positive integer $k$ such that every irreducible character of $G$ occurs in $χ^{k}$ . We determine…

math.GR2023

Products of conjugacy classes in $SL_{2} (k)$ and $PSL_{2} (k)$

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Let $k$ be a field with $u$ -invariant $\leq 2$ . Assume further that $k$ is not quadratically closed, $char (k) \neq = 2$ and $∣ k ∣ \geq 5$ . It is known that the covering number o…

math.CO2022

Alternating groups as products of cycle classes - II

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Given integers $k, l \geq 2$ , where either $l$ is odd or $k$ is even, let $n (k, l)$ denote the largest integer $n$ such that each element of $A_{n}$ is a product of $k$ many $l$ -cycles.…

math.RA2022

Nilpotent Lie algebras with two centralizer dimensions over a finite field

Rijubrata Kundu, Tushar Kanta Naik, Anupam Singh

A result of Barnea and Isaacs states that if $L$ is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of $L$ is eit…

math.CO2022★ 2 cited

Alternating groups as products of cycle classes

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Given integers $k, l \geq 2$ , where either $l$ is odd or $k$ is even, let $n (k, l)$ denote the largest integer $n$ such that each element of $A_{n}$ is a product of $k$ many $l$ -cycles.…

math.GR2022

Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky

Rijubrata Kundu, Sumit Chandra Mishra

In this article, we provide counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky which states that each coset of the centralizer of an involution in a finite non-abel…

math.RA2021★ 1 cited

Nilpotent Lie Algebras of breadth type $(0, 3)$

Rijubrata Kundu, Tushar Kanta Naik, Anupam Singh

For a natural number $m$ , a Lie algebra $L$ over a field $k$ is said to be of breadth type $(0, m)$ if the co-dimension of the centralizer of every non-central element is of dimens…

math.GR2020

Powers in the wreath product of $G$ with $S_{n}$

Rijubrata Kundu, Sudipa Mondal

In this paper we compute powers in the wreath product $G ≀ S_{n}$ , for any finite group $G$ . For $r \geq 2$ , a prime, consider $ω_{r} : G ≀ S_{n} \to G ≀ S_{n}$ defined by $g \mapsto g^{r}$ .…

math.GR2020★ 1 cited

Asymptotics of the powers in finite reductive groups

Amit Kulshrestha, Rijubrata Kundu, Anupam Singh

Let $G$ be a connected reductive group defined over $F_{q}$ . Fix an integer $M \geq 2$ , and consider the power map $x \mapsto x^{M}$ on $G$ . We denote the image of $G(\mathbb F_q…

math.GR2020★ 5 cited

Generating functions for the powers in $GL (n, q)$

Rijubrata Kundu, Anupam Singh

Consider the set of all powers $GL (n, q)^{M} = {x^{M} ∣ x \in GL (n, q)}$ for an integer $M \geq 2$ . In this article, we aim to enumerate the regular, regular semisimpl…

A Morris recursion rule for values of the spin characters of wreath products

On Conjugacy Classes of Derangements in Symmetric and Alternating Groups

A Relationship Between Character Values Of Wreath Products And The Symmetric Group

Covering Numbers of Some Irreducible Characters of the Symmetric Group

Products of conjugacy classes in SL2​(k) and PSL2​(k)

Alternating groups as products of cycle classes - II

Nilpotent Lie algebras with two centralizer dimensions over a finite field

Alternating groups as products of cycle classes

Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky

Nilpotent Lie Algebras of breadth type (0,3)

Powers in the wreath product of G with Sn​

Asymptotics of the powers in finite reductive groups

Generating functions for the powers in GL(n,q)

Products of conjugacy classes in $SL_{2} (k)$ and $PSL_{2} (k)$

Nilpotent Lie Algebras of breadth type $(0, 3)$

Powers in the wreath product of $G$ with $S_{n}$

Generating functions for the powers in $GL (n, q)$