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

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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.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.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.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…