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

Kenneth Johnson, Eirini Poimenidou

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)465-474
Number of pages10
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume155
Issue number3
DOIs
StatePublished - Jan 1 2013

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Formal Power Series
Terminate
Frobenius
Determinant
If and only if
Calculate
Character
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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