Tootfinder

$p$-groups with small number of character degrees and their normal subgroups
Nabajit Talukdar, Kukil Kalpa Rajkhowa
https://arxiv.org/abs/2403.15094 https:…

$p$-groups with small number of character degrees and their normal subgroups
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 Moretó obtained the relation between the character degree set of a finite $p$-group $G$ and its normal subgroups depending on whether $|G/Z(G)|$ is a square or not. In this paper we investigate the finite $p$-group $G$ where for any normal subgroup $N$ of $G$ with $G'\not \leq N$ either $N\leq Z(G)…

$p$-groups with small number of character degrees and their normal subgroups
Nabajit Talukdar, Kukil Kalpa Rajkhowa
https://arxiv.org/abs/2403.15094 https:…

$p$-groups with small number of character degrees and their normal subgroups
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 Moretó obtained the relation between the character degree set of a finite $p$-group $G$ and its normal subgroups depending on whether $|G/Z(G)|$ is a square or not. In this paper we investigate the finite $p$-group $G$ where for any normal subgroup $N$ of $G$ with $G'\not \leq N$ either $N\leq Z(G)…

GVZ-groups with two character degrees
Nabajit Talukdar, Kukil Kalpa Rajkhowa
https://arxiv.org/abs/2402.19003 https://arxiv.org/pdf/2…

GVZ-groups with two character degrees
We investigate the finite groups $G$ for which $χ(1)^{2}=|G:Z(χ)|$ for all characters $χ\in Irr(G)$ and $|cd(G)|=2$. We obtain some alternate characterizations of these groups and we obtain some information regarding the structure of these groups.