Amit Kulshrestha

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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.GR2024

Chirality and non-real elements in $G_{2} (q)$

Sushil Bhunia, Amit Kulshrestha, Anupam Singh

In this article, we determine the non-real elements--the ones that are not conjugate to their inverses--in the group $G = G_{2} (q)$ when $c ha r (F_{q}) \neq = 2, 3$ . We use this to show that…

On the representation dimension of finite p-groups

Chirality and non-real elements in G2​(q)

On the representation dimension of finite $p$ -groups

Chirality and non-real elements in $G_{2} (q)$