Ayush Udeep

activity

20242026

collaborators

5 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.GR2026

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.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 $I^¼ (G)$ 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…

On the representation dimension of finite p-groups

Codegrees of Irreducible Characters of VZ and Camina p-Groups

Representations of skew braces

Representations of Skew Left Braces of order pq

Exceptional groups of order p6 for primes p≥5

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 $p \geq 5$