On pseudocyclic association schemes

Mikhail Muzychuk, Ilya Ponomarenko

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

The notion of a pseudocyclic association scheme is generalized to the non-commutativecase. It is proved that any pseudocyclic scheme the rank of which is much more than the valency is the scheme of a Frobenius group and is uniquely determined up to isomorphism by its intersection number array. An immediate corollary of this result is that any scheme of prime degree, valency k and rank at least k4 is schurian.

Original languageEnglish
Pages (from-to)1-25
Number of pages25
JournalArs Mathematica Contemporanea
Volume5
Issue number1
DOIs
StatePublished - 1 Jan 2012
Externally publishedYes

Keywords

  • Association schemes
  • Frobenius groups
  • Pseudocyclic schemes

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