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A formal power series attached to a class function on a group and its application to the characterisation of characters
Published online by Cambridge University Press: 03 July 2013
Abstract
In Frobenius' initial papers on group characters he introduced k-characters in order to give an algorithm to calculate the irreducible factors of the group determinant. We show how his work leads naturally to the construction of a formal power series for any class function on a group, which terminates if and only if the class function is a character. This is then used to obtain a criterion for a class function to be a character.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 155 , Issue 3 , November 2013 , pp. 465 - 474
- Copyright
- Copyright © Cambridge Philosophical Society 2013
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