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math.GR2023
Non-locally discrete actions on the circle with at most fixed points
Christian Bonatti, João Carnevale, Michele Triestino
A subgroup of is Möbius-like if every element is conjugate to an element of . In general, a Möbius-like subgroup of $\m…
math.GR2022
Groups acting on the line with at most fixed points: an extension of Solodov's theorem
João Carnevale
A classical result by Solodov states that if a group acts on the line such that any non-trivial element has at most one fixed point, then the action is either abelian or semi-conju…