Hypergroups with a Small Number of Elements

Paul-Hermann Zieschang
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Paul-Hermann Zieschang: University of Texas Rio Grande Valley, School of Mathematical & Statistical Sciences

Chapter 7 in Hypergroups, 2023, pp 189-241 from Springer

Abstract: Abstract In this chapter,we pause developing the structure theory of hypergroups for a moment and turn to the study of hypergroups with a small number of elements. We consider hypergroups of cardinality 1, 2, 3, 4, and 6. Some intermediate results in Section 7.5 will be stated and proven in a more general context. They are about hypergroups H which contain a closed subset F with only a few elements in H \ F.

Date: 2023
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DOI: 10.1007/978-3-031-39489-8_7

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