The Cayley isomorphism property for the group

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Abstract

A finite group G is called a (Formula presented.) -group if every two isomorphic Cayley digraphs over G are Cayley isomorphic, i.e. their connection sets are conjugate by a group automorphism. We prove that the group (Formula presented.) where p is a prime, is a (Formula presented.) -group if and only if (Formula presented.).

Original languageEnglish
Pages (from-to)1788-1804
Number of pages17
JournalCommunications in Algebra
Volume49
Issue number4
Early online date28 Nov 2020
DOIs
Publication statusPublished - 2020

Keywords

  • Isomorphisms
  • DCI-groups
  • Schur rings
  • -groups

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