A formal power series attached to a class function on a group and its application to the characterisation of characters

作者：Johnson Kenneth W^*; Poimenidou Eirini

来源：Mathematical Proceedings of the Cambridge Philosophical Society, 2013, 155(3): 465-474.

DOI：10.1017/S0305004113000388

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.

• 出版日期2013-11