Hypergroup extensions of finite Abelian groups by hypergroups of order two
Ichihara, Ryo ; Kawakami, Satoshi ; Sakao, Masafumi
Nihonkai Math. J., Tome 21 (2010) no. 1, p. 47-71 / Harvested from Project Euclid
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The purpose of the present paper is to establish necessary conditions and sufficient conditions that finite commutative hypergroups are extensions of finite Abelian groups by hypergroups of order two. Applying our results to some concrete cases one can determine all such extensions.
Publié le : 2010-05-15
Classification:  Hypergroup, ,,  extension,  Abelian group,  43A62,,  20N20 
@article{1302268216,
     author = {Ichihara, Ryo and Kawakami, Satoshi and Sakao, Masafumi},
     title = {Hypergroup extensions of finite Abelian groups by hypergroups of order two},
     journal = {Nihonkai Math. J.},
     volume = {21},
     number = {1},
     year = {2010},
     pages = { 47-71},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1302268216}
}

Ichihara, Ryo; Kawakami, Satoshi; Sakao, Masafumi. Hypergroup extensions of finite Abelian groups by hypergroups of order two. Nihonkai Math. J., Tome 21 (2010) no. 1, pp.  47-71. http://gdmltest.u-ga.fr/item/1302268216/