Coxeter Sets of Involutions

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

Chapter 9 in Hypergroups, 2023, pp 273-318 from Springer

Abstract: Abstract In this chapter, we investigate constrained sets of involutions of hypergroups which satisfy the exchange condition. These sets will be called Coxeter sets, and a hypergroup H which is generated by a Coxeter set T of involutions of H will be called a Coxeter hypergroup over T. If a hypergroup is generated by a Coxeter set of involutions and we do not specify this Coxeter set, we simply speak about a Coxeter hypergroup.

Date: 2023
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DOI: 10.1007/978-3-031-39489-8_9

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