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$p$-DIVISIBILITY OF CO-DEGREES OF IRREDUCIBLE CHARACTERS

Published online by Cambridge University Press:  07 April 2020

ROYA BAHRAMIAN
Affiliation:
Department of Pure Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran email roya.bahramian98@gmail.com
NEDA AHANJIDEH*
Affiliation:
Department of Pure Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran email ahanjideh.neda@sci.sku.ac.ir

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 $p$.

Type
Research Article
Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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