Generalized dihedral CI-groups

Ted Dobson, Mikhail Muzychuk, Pablo Spiga

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if R is a generalised dihedral group and if R is a CI-group, then for every odd prime p the Sylow p-subgroup of R has order p, or 9. Consequently, any CI-group with quotient a generalised dihedral group has the same restriction, that for every odd prime p the Sylow p-subgroup of the group has order p, or 9.
Original languageEnglish
Number of pages18
JournalArs Mathematica Contemporanea
Volume22
Issue number2
DOIs
StatePublished - 2022

Keywords

  • Cayley isomorphism
  • CI-group
  • DCI-group
  • generalised dihedral

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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