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.
|Original language||English (US)|
|Number of pages||10|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|State||Published - Jan 1 2013|
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