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Classifying sharply 3-transitive actions on spheres. My question is, are the only sharply $3$ -transitive actions on spheres the mobius transformations, up to conjugation by a self-homeomorphism of the sphere? I'm also interested in the analogous question when we look at the extended real line and real mobius transformations
Transitive Automorphism Groups of Steiner Systems Because $M_ {24}$ is 5-transitive but not sharply 5-transitive I thought it might be the case that the automorphism group of a Steiner system S (t,k,v) is t-transitive or sharply t-transitive if k = t+1
Maximisation of functions of the form $f (x) = \sqrt {1 - x^2} + (ax+b)x$ I want to understand the behavior of $f$, in particular, I need to understand $\max_x f (x)$ Can the maximum be explicitly computed or at least sharply upper-bounded in closed-form? Any thoughts or response will be appreciated
Classification of triply transitive finite groups What I really mean , Start with a two transitive group then add a one elemen to acted set,Find an another set which is transitive on new set, If you define a semiderect produc of these two group such that two transitive group behave like a stabilizer,then you will get three transitive group I hope the idea is clear