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1 results

$p$-DIVISIBILITY OF CO-DEGREES OF IRREDUCIBLE CHARACTERS
Part of
- Representation theory of groups
ROYA BAHRAMIAN, NEDA AHANJIDEH
Journal:

Bulletin of the Australian Mathematical Society / Volume 103 / Issue 1 / February 2021

Published online by Cambridge University Press:

07 April 2020, pp. 78-82

Print publication:

February 2021
- Article
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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 $p$.