In this paper, we prove that the minimum size of a hypergroup of type U on the right which contains a proper subsemihypergroup of type U on the right of size 6 and a subgroup of size ≥ 2 is 18. We study some properties of hypergroups of type U on the right of size 2p that have a cyclic subgroup of size p. Moreover, we give a more general answer to a problem left open in [11].

On further properties of minimal size in hypergroups of type U on the right

Freni D.
2020-01-01

Abstract

In this paper, we prove that the minimum size of a hypergroup of type U on the right which contains a proper subsemihypergroup of type U on the right of size 6 and a subgroup of size ≥ 2 is 18. We study some properties of hypergroups of type U on the right of size 2p that have a cyclic subgroup of size p. Moreover, we give a more general answer to a problem left open in [11].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1184479
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