Relative character conductors

An irreducible complex character χ of a finite group G has associated a natural number f χ , which is the smallest positive integer n such that all the values of χ are contained in the n -th cyclotomic extension of the rational numbers. We study how the invariant f χ varies with respect to p -group...

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Bibliographic Details
Published inArchiv der Mathematik Vol. 120; no. 3; pp. 237 - 244
Main Author Rodríguez, Carolina Vallejo
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2023
Springer Nature B.V
Subjects
Group theory
Mathematics
Mathematics and Statistics
Fields of values of characters
Feit numbers
20C15
Character conductors
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Summary:An irreducible complex character χ of a finite group G has associated a natural number f χ , which is the smallest positive integer n such that all the values of χ are contained in the n -th cyclotomic extension of the rational numbers. We study how the invariant f χ varies with respect to p -group factors.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-022-01818-x