An irreducible complex character χ of a finite group G has associated a natural number fχ, 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 fχ varies with respect to p-group factors.
Relative character conductors / Rodriguez C.V.. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - STAMPA. - 120:(2023), pp. 237-244. [10.1007/s00013-022-01818-x]
Relative character conductors
Rodriguez C. V.
2023
Abstract
An irreducible complex character χ of a finite group G has associated a natural number fχ, 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 fχ varies with respect to p-group factors.
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