Publication details
Orders generated by character values
- authored by
- Andreas Bächle, Benjamin Sambale
- Abstract
Let K: = Q(G) be the number field generated by the complex character values of a finite group G. Let ZK be the ring of integers of K. In this paper we investigate the suborder Z[G] of ZK generated by the character values of G. We prove that every prime divisor of the order of the finite abelian group ZK/ Z[G] divides |G|. Moreover, if G is nilpotent, we show that the exponent of ZK/ Z[G] is a proper divisor of |G| unless G= 1. We conjecture that this holds for arbitrary finite groups G.
- External Organisation(s)
-
Vrije Universiteit Brussel
Friedrich Schiller University Jena
- Type
- Article
- Journal
- Monatshefte fur Mathematik
- Volume
- 191
- Pages
- 665-678
- No. of pages
- 14
- ISSN
- 0026-9255
- Publication date
- 04.2020
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Mathematics(all)
- Electronic version(s)
-
https://doi.org/10.1007/s00605-019-01324-3 (Access:
Unknown)
