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 language | English |
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Journal | Ars Mathematica Contemporanea |
Volume | 22 |
Issue number | 2 |
DOIs | |
State | Published - 1 Jan 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