Nabajit Talukdar

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math.GR2025

p-Groups in which kernels of the non-linear irreducible characters are of equal order

Nabajit Talukdar

For an irreducible character $χ$ of a finite group $G$ , its kernel is defined as $ker χ = {g \in G : χ (g) = χ (1)}$ . In this paper we characterize the finite groups of prime powe…

math.GR2024

Some results on GVZ-groups with two character degrees

Nabajit Talukdar, Kukil Kalpa Rajkhowa

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

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 $χ$ is a non-linear irreducible character of $G$ , then $χ (1) \leq ∣ G / Z (G) ∣^{\frac{1}{2}}$ . In \cite{fernandez2001groups}, Fernández-Alcober and More…

math.GR2024

GVZ-groups with two character degrees

Nabajit Talukdar, Kukil Kalpa Rajkhowa

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

p-Groups in which kernels of the non-linear irreducible characters are of equal order

Some results on GVZ-groups with two character degrees

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

GVZ-groups with two character degrees

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