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$p$-DIVISIBILITY OF CO-DEGREES OF IRREDUCIBLE CHARACTERS
Published online by Cambridge University Press: 07 April 2020
Abstract
For a character $\unicode[STIX]{x1D712}$ of a finite group $G$, the co-degree of $\unicode[STIX]{x1D712}$ is $\unicode[STIX]{x1D712}^{c}(1)=[G:\text{ker}\unicode[STIX]{x1D712}]/\unicode[STIX]{x1D712}(1)$. We study finite groups whose co-degrees of nonprincipal (complex) irreducible characters are divisible by a given prime $p$.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 103 , Issue 1 , February 2021 , pp. 78 - 82
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
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