Abstract
Let F be the Thompson’s group 〈x 0 , x 1 vb[x 0 x−1 1 , x−i 0 x 1 xi 0 ], i=1,2.〉 Let G n =〈y 1 ,..., y m , x 0 , x 1 vb[x 0 x−1 1 , x−i 0 x 1 xi 0 ], y −1 j g j,n (x 0 , x 1 ), i=1, 2, j ≤ m〉, where g jn , (x 0 , x 1 ) ∈ F, n ∈ N, be a family of groups isomorphic to F and marked by m+2 elements. If the sequence (G n )n<ω is convergent in the space of marked groups and G is the corresponding limit we say that G is an F-limit group. The paper is devoted to a description of F-limit groups.
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Zarzycki, R. (2010). Limits of Thompson’s Group F . In: Bogopolski, O., Bumagin, I., Kharlampovich, O., Ventura, E. (eds) Combinatorial and Geometric Group Theory. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9911-5_14
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DOI: https://doi.org/10.1007/978-3-7643-9911-5_14
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