Total characters and Chebyshev polynomials

Eirini Poimenidou and Homer Wolfe

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-7

Abstract:

The total character τ of a finite group G is defined as the sum of all the irreducible characters of G . K. W. Johnson asks when it is possible to express τ as a polynomial with integer coefficients in a single irreducible character. In this paper, we give a complete answer to Johnson's question for all finite dihedral groups. In particular, we show that, when such a polynomial exists, it is unique and it is the sum of certain Chebyshev polynomials of the first kind in any faithful irreducible character of the dihedral group G .

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/384016.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/384016.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:384016

DOI: 10.1155/S0161171203201046

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().