S. Panja

activity

20212026

most citedThe image of polynomials and Waring type problems on upper triangular matrix algebras

13 citations · 15 across the 26 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.GM2022

Idempotents in integral ring of dihedral quandle

P Narayanan, Saikat Panja

We provide the structure of some idempotents in the integral ring of a dihedral quandles, for odd case. The solution is complete in case $n = 5$ . This produces an example of a connec…

math.RA2022★ 13 cited

The image of polynomials and Waring type problems on upper triangular matrix algebras

Saikat Panja, Sachchidanand Prasad

Let $p$ be a polynomial in non-commutative variables $x_{1}, x_{2}, \dots, x_{n}$ with constant term zero over an algebraically closed field $K$ . The object of study in this paper is the i…

math.GR2022

Counterexample to a conjecture about dihedral quandle

Saikat Panja, Sachchidanand Prasad

It was conjectured that the augmentation ideal of a dihedral quandle of even order $n > 2$ satisfies $∣ Δ^{k} (R_{n}) / Δ^{k + 1} (R_{n}) ∣ = n$ for all $k \geq 2$ . In this article we…

math.GR2022★ 1 cited

Powers in finite orthogonal and symplectic groups: A generating function approach

Saikat Panja, Anupam Singh

For an integer $M \geq 2$ and a finite group $G$ , an element $α \in G$ is called an $M$ -th power if it satisfies $A^{M} = α$ for some $A \in G$ . In this article, we will deal with the cas…

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…

Idempotents in integral ring of dihedral quandle

The image of polynomials and Waring type problems on upper triangular matrix algebras

Counterexample to a conjecture about dihedral quandle

Powers in finite orthogonal and symplectic groups: A generating function approach

Hopf-Galois Realizability of Zn​⋊Z2​

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