An elementary abelian group of large rank is not a CI-group

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16 Scopus citations

Abstract

In this paper, we prove that the group Z (p) (n) is not a CI-group if n≥2p-1+( 2p-1 p), that is there exist two Cayley digraphs over Z(p)(n) which are isomorphic but their connection sets are not conjugate by an automorphism of Z(p)(n).

Original languageEnglish
Pages (from-to)167-185
Number of pages19
JournalDiscrete Mathematics
Volume264
Issue number1-3
DOIs
StatePublished - 6 Mar 2003
Externally publishedYes

Keywords

  • CI-group
  • Cayley graphs
  • Schur rings

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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