Geodesic
Generalized dihedral CI-groups
Ars Mathematica Contemporanea, Tome 22 (2022) no. 2, article no. 07, 18 p.

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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.
DOI : 10.26493/1855-3974.2443.02e
Keywords: CI-group, DCI-group, generalised dihedral, Cayley isomorphism 
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Ted Dobson; Mikhail Muzychuk; Pablo Spiga. Generalized dihedral CI-groups. Ars Mathematica Contemporanea, Tome 22 (2022) no. 2, article  no. 07, 18 p. doi : 10.26493/1855-3974.2443.02e. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2443.02e/

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