Ayush Udeep

activity

20212026

most citedMinimal degrees for faithful permutation representations of groups of order

p^{6}

where

p

is an odd prime

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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…

On the representation dimension of finite p-groups

Codegrees of Irreducible Characters of VZ and Camina p-Groups

On the representation dimension of finite $p$ -groups

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