14
Nov
14. November 2019
Oberseminar zur Algebra und Algebraischen Kombinatorik
Orders generated by character values
In this talk we investigate the ring R generated by the character values of a finite group G. Let S be the ring of integers of the field generated by the character values of G.
We prove that every prime divisor of the order of the finite abelian group S/R divides |G|. Moreover, if G is nilpotent, we show that the exponent of S/R is a proper divisor of |G| unless G=1. We conjecture that this holds for arbitrary finite groups G.
Referent/Referentin
Prof. Dr. Benjamin Sambale (Leibniz Universität Hannover)
Veranstalter
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Termin
14. November 201914:15 Uhr - 15:45 Uhr
Kontakt
Institut für Algebra, Zahlentheorie und Diskrete MathematikWelfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
sekretariat-d@math.uni-hannover.de
Ort
HauptgebäudeGeb.: 1101
Raum: a410
Welfengarten 1
30167 Hannover