Publikationsdetails
The reciprocal character of the conjugation action
Abstract
For a finite group G, we investigate the smallest positive integer e(G) such that the map sending g ∈ G to e(G)|G : CG(g)| is a generalized character of G. It turns out that e(G) is strongly influenced by local data, but behaves irregularly for non-abelian simple groups. We interpret e(G) as an elementary divisor of a certain non-negative integral matrix related to the character table of G. Our methods applied to Brauer characters also answer a recent question of Navarro: The p-Brauer character table of G determines |G|p0.
Details
- Organisationseinheit(en)
-
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Typ
- Artikel
- Journal
- Publicationes mathematicae
- Band
- 99
- Seiten
- 243-260
- Anzahl der Seiten
- 18
- ISSN
- 0033-3883
- Publikationsdatum
- 2021
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Allgemeine Mathematik
- Elektronische Version(en)
-
https://arxiv.org/abs/2003.06150 (Zugang:
Offen
)
https://doi.org/10.5486/PMD.2021.9015 (Zugang: Geschlossen )
