Generalized dihedral CI-groups

Authors

DOI:

https://doi.org/10.26493/1855-3974.2443.02e

Keywords:

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

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.

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Published

2022-05-27

Issue

Vol. 22 No. 2 (2022)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/