Abstract:Using Klein's approach, geometry can be studied in terms of a space of points and a group of transformations of that space. This allows us to apply algebraic tools in studying geometry of mathematical structures. In this article, we follow Klein's approach to study the geometry (G, T ), where G is an abstract gyrogroup and T is an appropriate group of transformations containing all gyroautomorphisms of G. We focus on n-transitivity of gyrogroups and also give a few characterizations of coset spaces to be minim… Show more
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