Ayush Udeep

activity

20212026

most citedMinimal degrees for faithful permutation representations of groups of order

p^{6}

where

p

is an odd prime

1 citations · 1 across the 11 of their papers we have counts for

collaborators

11 papers

math.GR2026

On the representation dimension of finite $p$ -groups

Gurleen Kaur, Amit Kulshrestha, Ayush Udeep

For a finite group $G$ , the representation dimension $δ (G)$ is the least dimension of a faithful complex representation of $G$ . We prove that $δ (H \times K) = δ (H) + δ (K)$ whenever…

math.GR2026

Codegrees of Irreducible Characters of VZ and Camina $p$ -Groups

Ayush Udeep

The character codegree of an irreducible character of a finite group $G$ is given by the index of its kernel in $G$ upon the character degree. We compute the codegrees of irreducib…

math.GR2025

Representations of Skew Left Braces of order $pq$

Nishant Rathee, Ayush Udeep

In this paper, we study the irreducible representations of skew braces of order $ pq $, which is equivalent to studying the representation theory of groups of order $ p^2q^2 $…

math.GR2024

Exceptional groups of order $p^{6}$ for primes $p \geq 5$

E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep

The minimal faithful permutation degree $μ (G)$ of a finite group $G$ is the least integer $n$ such that $G$ is isomorphic to a subgroup of the symmetric group $S_{n}$ . If $G$ has a n…

math.GR2024

Representations of skew braces

Nishant Rathee, Ayush Udeep

In this paper, we explore linear representations of skew left braces, which are known to provide bijective non-degenerate set-theoretical solutions to the Yang--Baxter equation tha…

math.RT2024

Various Representation Dimensions associated with a Finite Group

Anupam Singh, Ayush Udeep

To a finite group $G$ , one can associate several notions of dimensions (or degrees). In this survey, we attempt to bring together some of the notions of dimensions or degrees defin…

math.GR2023

Comment on: The groups of order $p^{6}$ ( $p$ an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep

Over the years various errors have been identified in the 1980 paper of James on the groups of order $p^{6}$ , where $p$ is an odd prime. Here we summarise them.

math.GR2023★ 1 cited

Minimal degrees for faithful permutation representations of groups of order $p^{6}$ where $p$ is an odd prime

E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep

We determine the minimal degree of a faithful permutation representation for each group of order $p^{6}$ where $p$ is an odd prime. We also record how to obtain such a representation…

math.GR2023

On the relation of character codegrees and the minimal faithful quasi-permutation representation degree of $p$ -groups

Sunil Kumar Prajapati, Ayush Udeep

For a finite group $G$ , we denote by $c (G)$ , the minimal degree of faithful representation of $G$ by quasi-permutation matrices over the complex field $C$ . For an irreduci…

math.GR2023

Minimal Faithful Quasi-Permutation Representation Degree of p-Groups with Cyclic Center

Sunil Kumar Prajapati, Ayush Udeep

For a finite group G, we denote by $μ (G)$ , and c(G), the minimal degree of faithful permutation representation of G, and the minimal degree of faithful representation of G by quasi…

math.GR2021

On faithful quasi-permutation representations of $V Z$ -groups and Camina $p$ -groups

Sunil Kumar Prajapati, Ayush Udeep

For a finite group $G$ , we denote by $μ (G)$ and $c (G),$ the minimal degree of faithful permutation representation of $G$ and the minimal degree of faithful representation of $G$ by…

On the representation dimension of finite p-groups

Codegrees of Irreducible Characters of VZ and Camina p-Groups

Representations of Skew Left Braces of order pq

Exceptional groups of order p6 for primes p≥5

Representations of skew braces

Various Representation Dimensions associated with a Finite Group

Comment on: The groups of order p6 (p an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

Minimal degrees for faithful permutation representations of groups of order p6 where p is an odd prime

On the relation of character codegrees and the minimal faithful quasi-permutation representation degree of p-groups

Minimal Faithful Quasi-Permutation Representation Degree of p-Groups with Cyclic Center

On faithful quasi-permutation representations of VZ-groups and Camina p-groups

On the representation dimension of finite $p$ -groups

Codegrees of Irreducible Characters of VZ and Camina $p$ -Groups

Representations of Skew Left Braces of order $pq$

Exceptional groups of order $p^{6}$ for primes $p \geq 5$

Comment on: The groups of order $p^{6}$ ( $p$ an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

Minimal degrees for faithful permutation representations of groups of order $p^{6}$ where $p$ is an odd prime

On the relation of character codegrees and the minimal faithful quasi-permutation representation degree of $p$ -groups

On faithful quasi-permutation representations of $V Z$ -groups and Camina $p$ -groups