Rational projective representations of finite groups
Published online by Cambridge University Press: 24 October 2008
Extract
Let G bea finite group, let C1, …, Cn be the cyclic subgroups of G and let 1i be the identity linear character of Ci (1 ≤ i ≤ n). It is a well-known result of Artin ((l), 39·1) that a character x of a linear representation of G over the rational numbers may be written
where a1, …, an are integers. In this note, we establish an analogue of this result for characters of projective representations over the rational numbers.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 3 , November 1979 , pp. 413 - 419
- Copyright
- Copyright © Cambridge Philosophical Society 1979
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