p-parts of co-degrees of irreducible characters

نویسندگان

چکیده

For a character χ of finite group G, the co-degree is c (1)=[G:kerχ] χ(1). Let p be prime and let e positive integer. In this paper, we first show that if G p-solvable such e+1 ∤χ (1), for every irreducible then p-length not greater than e. Next, study groups satisfying condition 2 does divide co-degrees their characters.

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ژورنال

عنوان ژورنال: Comptes Rendus Mathematique

سال: 2021

ISSN: ['1631-073X', '1778-3569']

DOI: https://doi.org/10.5802/crmath.158