K. Rajkhowa

works on

combinatorial group theory 1 derived graph 1 graph theory 1 group actions 1 nilpotent groups 1 stabilizer graph 1

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math.GR2026

Group action-stabilizer graph of group actions of a group on a set

Nepur Ranjan Hazarika, Kukil Kalpa Rajkhowa

The paper defines the group action‑stabilizer graph GAS(G) for a group G acting on a set, studies a distinguished subgraph gas(G) where stabilizer intersections are distinct, count…

math.GR2024

Some results on GVZ-groups with two character degrees

Nabajit Talukdar, Kukil Kalpa Rajkhowa

We investigate the finite groups $G$ for which $I ¨ (1)^{2} = ∣ G : Z (I ¨ ) ∣$ for all characters $I ¨ \in I r r (G)$ and $∣ c d (G) ∣ = 2$ , where $c d (G) = {I ¨ (1) ∣ I ¨ \in I r r (G)}$ . We call such a group…

math.GR2024

GVZ-groups with two character degrees

Nabajit Talukdar, Kukil Kalpa Rajkhowa

We investigate the finite groups $G$ for which $I ¨ (1)^{2} = ∣ G : Z (I ¨ ) ∣$ for all characters $I ¨ \in I r r (G)$ and $∣ c d (G) ∣ = 2$ . We obtain some alternate characterizations of these groups a…

math.GR2024

$p$ -groups with small number of character degrees and their normal subgroups

Nabajit Talukdar, Kukil Kalpa Rajkhowa

If $G$ be a finite $p$ -group and $I ¨ $ is a non-linear irreducible character of $G$ , then $I ¨ (1) \leq ∣ G / Z (G) ∣^{\frac{1}{2}}$ . In \cite{fernandez2001groups}, FernÃ¡ndez-Alcober and M…

Group action-stabilizer graph of group actions of a group on a set

Some results on GVZ-groups with two character degrees

GVZ-groups with two character degrees

p-groups with small number of character degrees and their normal subgroups

$p$ -groups with small number of character degrees and their normal subgroups