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Constrained Sets of Involutions

In: Hypergroups

Author

Listed:
  • Paul-Hermann Zieschang

    (University of Texas Rio Grande Valley, School of Mathematical & Statistical Sciences)

Abstract

Notice that sets consisting of a single involution of a hypergroup are constrained. From Lemma 1.4.3(i) one obtains further that each thin set of involutions of a hypergroup is constrained. In this chapter, we outline an abstract approach to constrained sets of involutions of hypergroups. More concrete aspects of constrained sets of involutions of hypergroups will be presented in the final two chapters of this monograph when we consider constrained sets of involutions of hypergroups satisfying the exchange condition.

Suggested Citation

  • Paul-Hermann Zieschang, 2023. "Constrained Sets of Involutions," Springer Books, in: Hypergroups, chapter 8, pages 243-271, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-39489-8_8
    DOI: 10.1007/978-3-031-39489-8_8
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