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pro vyhledávání: '"Talukdar, Nabajit"'
We investigate the finite groups $G$ for which $\chi(1)^{2}=|G:Z(\chi)|$ for all characters $\chi \in Irr(G)$ and $|cd(G)|=2$, where $cd(G)=\{\chi(1)| \chi \in Irr(G)\}$. We call such a group a GVZ-group with two character degrees. We establish bijec
Externí odkaz:
http://arxiv.org/abs/2407.10572
If $G$ be a finite $p$-group and $\chi$ is a non-linear irreducible character of $G$, then $\chi(1)\leq |G/Z(G)|^{\frac{1}{2}}$. In \cite{fernandez2001groups}, Fern\'{a}ndez-Alcober and Moret\'{o} obtained the relation between the character degree se
Externí odkaz:
http://arxiv.org/abs/2403.15094
We investigate the finite groups $G$ for which $\chi(1)^{2}=|G:Z(\chi)|$ for all characters $\chi \in Irr(G)$ and $|cd(G)|=2$. We obtain some alternate characterizations of these groups and we obtain some information regarding the structure of these
Externí odkaz:
http://arxiv.org/abs/2402.19003
Publikováno v:
Indian Heart Journal; December 2021, Vol. 73 Issue: 1, Number 1 Supplement 1 pS58-S59, 2p
