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

Kenneth W. Johnson; Eirini Poimenidou

doi:10.1017/S0305004113000388

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

Kenneth W. Johnson, Eirini Poimenidou

Division of Engineering and Science (Abington)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	465-474
Number of pages	10
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	155
Issue number	3
DOIs	https://doi.org/10.1017/S0305004113000388
State	Published - Jan 1 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S0305004113000388

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

Abstract

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