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Combination Theorem for Flexible Groups

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Book cover Flexibility of Group Actions on the Circle

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2231))

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Abstract

In this chapter, we establish a combination theorem (Theorem 5.1) for the class of flexible and liftable-flexible groups. This generalizes the arguments in Chap. 4 that most Fuchsian groups are flexible. Implications of flexibility and liftability for limit groups and quasimorphisms are discussed here.

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Kim, Sh., Koberda, T., Mj, M. (2019). Combination Theorem for Flexible Groups. In: Flexibility of Group Actions on the Circle. Lecture Notes in Mathematics, vol 2231. Springer, Cham. https://doi.org/10.1007/978-3-030-02855-8_5

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