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The conjugacy problem for symmetric Thompson-like groups

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In this paper we generalize techniques of Belk-Matucci [2] to solve the conjugacy problem for every symmetric Thompson-like group Vn(H), where n ≥ 2 and H is a subgroup of… Click to show full abstract

In this paper we generalize techniques of Belk-Matucci [2] to solve the conjugacy problem for every symmetric Thompson-like group Vn(H), where n ≥ 2 and H is a subgroup of the symmetric group on n elements. We use this to prove that, if n ≠ m, Vn(H) is not isomorphic to Vm(G) for any H, G.

Keywords: thompson like; conjugacy problem; symmetric thompson

Journal Title: Israel Journal of Mathematics
Year Published: 2021

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