Generalised classes in groups and association schemes: Duals of results on characters and sharpness

Kenneth W. Johnson, Eirini Poimenidou

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A result of Strunkov on generalised conjugacy classes of groups is most conveniently expressed in terms of the P-matrix of an association scheme. This result is dual to a result of Blichfeldt on permutation characters, which has been shown by Cameron and Kiyota to hold for arbitrary characters and led to the definition of sharp characters. We show that the result carries over to arbitrary (commutative) association scheme classes, and introduce the idea of a sharp class in an association scheme.

Original languageEnglish (US)
Pages (from-to)87-92
Number of pages6
JournalEuropean Journal of Combinatorics
Volume20
Issue number1
DOIs
StatePublished - Jan 1999

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

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