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Groups in hypergroups. (English) Zbl 0652.20071

Combinatorics, Proc. Int. Conf. Incidence Geom. Comb. Struct., Passo della Mendola/Italy 1986, Ann. Discrete Math. 37, 459-467 (1988).
Summary: [For the entire collection see Zbl 0635.00001.]
We study the fundamental relation introduced by Koskas as the transitive closure of a basic relation in a given hypergroup. We use the quotient set, which is a group, in order to define a semi-direct hyperproduct of two hypergroups. We obtain an extension of hypergroups by hypergroups. Moreover we reveal some hypergroups in a given hypergroup.

MSC:

20N99 Other generalizations of groups
20E22 Extensions, wreath products, and other compositions of groups

Citations:

Zbl 0635.00001