Geodesic
The hypergroups of order~3 over a~group arising from the dihedral group of order~18
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 6, pp. 95-110.

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We describe up to isomorphism all unitary hypergroups of order 3 over a group that arise from the dihedral group $\mathrm D_9$. 
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S. H. Dalalyan; P. Zolfaghari. The hypergroups of order~3 over a~group arising from the dihedral group of order~18. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 6, pp. 95-110. http://geodesic.mathdoc.fr/item/FPM_2013_18_6_a5/

[1] Dalalyan S. G., “O gipergruppakh, prednormalnykh podgruppakh i prosteishikh gruppakh”, Konf., posvyaschënnaya 90-letiyu M. M. Dzhrbashyana, Erevan, 2008, 12–14

[2] Dalalyan S. G., “O kategorii gipergrupp”, Konf., posvyaschënnaya 90-letiyu EGU, Erevan, 2009, 8–9

[3] Dalalyan S. G., “Teoriya privodimosti gipergrupp nad gruppoi”, Konf. AMS, posvyaschënnaya 1400-letiyu Ananiya Shirakatsi, Erevan, 2012, 22–24

[4] Kurosh A. G., Teoriya grupp, Nauka, M., 1967 | MR | Zbl

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[6] Dalalyan S. H., Hypergroups over the group and generalizations of Schreier's theorem on group extensions, 2014, arXiv: 1403.6134v1

[7] Rotman J. J., An Introduction to the Theory of Groups, Springer, New York, 1999 | MR

[8] Zolfaghari P., “About hypergroups of order $3$ over the group, which arise from groups of order $18$”, Math. Problems of Comp. Sci., 38 (2012), 93–94

[9] Zolfaghari P., “The hypergroups of order $3$, arising from symmetric group $S_3$”, Proc. of the Fourth Int. Group Theory Conf. of Iran, Isfahan, 2012, 198–201