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Titlebook: Hypergroups; Paul-Hermann Zieschang Book 2023 Springer Nature Switzerland AG 2023 20N20, 20A05, 05E30.51E24, 51E05, 51E15, 51F15, 20E42, 2

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Paul-Hermann ZieschangThe text provides a direct path from elementary algebraic and combinatorial observations to research problems.The book is the first attempt to systematically develop a structure theory of hypergroups
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Closed Subsets,Notice that a closed subset . of a hypergroup . is a hypergroup with respect to the hyperoperation which one obtains from the hyperoperation on . if one restricts the domain of the hyperoperation on . to . and the codomain of this hyperoperation to the power set of ..
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Tight Hypergroups,in. This provides us with a useful invariant which can be associated to each finite tight hypergroups, its residual depth, and it is this invariant which determines our study of finite tight hypergroups.
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Involutions,oretic involutions.1 So it should come as no surprise that involutions play a similarly important role in the theory of hypergroups as group theoretic involutions do in group theory.We will see this on several occasions throughout the rest of this monograph.
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Coxeter Sets of Involutions,a hypergroup . which is generated by a Coxeter set . of involutions of . will be called a . .. If a hypergroup is generated by a Coxeter set of involutions and we do not specify this Coxeter set, we simply speak about a ..
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https://doi.org/10.1007/978-3-031-39489-820N20, 20A05, 05E30; 51E24, 51E05, 51E15, 51F15, 20E42, 20F55, 20P99, 05Exx; hypergroup; association sc
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