$p$-parts of co-degrees of irreducible characters
For a character $\chi $ of a finite group $G$, the co-degree of $\chi $ is $\chi ^c(1)=\frac{[G:\ker \chi ]}{\chi (1)}$. Let $p$ be a prime and let $e$ be a positive integer. In this paper, we first show that if $G$ is a $p$-solvable group such that $p^{e+1}\nmid \chi ^c(1)$, for every irreducible c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2021-02-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.158/ |