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 |
|---|---|
| Journal | Ars Mathematica Contemporanea |
| Volume | 22 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jan 2022 |
Keywords
- CI-group
- Cayley isomorphism
- DCI-group
- generalised dihedral
ASJC Scopus subject areas
- Theoretical Computer Science
- Algebra and Number Theory
- Geometry and Topology
- Discrete Mathematics and Combinatorics