Projective representations of finite groups in cyclotomic fields

Hans Opolka

Vol. 94 (1981), No. 1, 207–210

DOI: 10.2140/pjm.1981.94.207

Abstract

It is known that every complex projective representation of a finite group is realizable in a cyclotomic field Q(ξ_k). This note is concerned with the problem of finding the minimal k with this property and gives a partical answer in this direction.

Mathematical Subject Classification 2000

Primary: 20C25

Secondary: 12A57

Milestones

Received: 7 December 1979

Published: 1 May 1981