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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Constrained Sets of Involutions,ete 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.

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Regular Actions of (Twin) Coxeter Hypergroups,6 and 10.7, we will see that (modulo the above-mentioned hypothesis) thick twin buildings and regular actions of twin Coxeter hypergroups over sets of nonthin involutions are equivalent mathematical objects. The precise nature of this equivalence will be described in Theorems 10.6.1, 10.6.7, 10.7.1, 10.7.2, 10.7.3, and 10.7.4.

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Book 2023ir regular actions are mathematically equivalent to buildings (in the sense of Jacques Tits). A similar equivalence is discussed for twin buildings. The primary audience for the monograph will be researchers working in Algebra and/or Algebraic Combinatorics, in particular on association schemes..

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Paul-Hermann Zieschangsed by the host environment. The vast majority of fundamental studies of biocompatibility involve animal models. The ultimate test for biocompatibility of a polymer, device or prosthesis, is human implantation. With this in mind, we have sought to examine implants and tissue obtained by surgical rem