On the Degrees of Irreducible Representations of a Finite Group
- 1 October 1951
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 3, 5-6
- https://doi.org/10.1017/s0027763000012162
Abstract
In 1896 G. Frobenius proved: the degree of any (absolutely) irreducible representation of a finite group divides its order. This theorem was improved by I. Schur in 1904 as follows: the degree of any irreducible representation of a finite group divides the index of its centre.Keywords
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