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3. Thompson groups

    1. Commutator width of Thompson groups

          Let G be F,T or V or a topological full group. Let \rho_1(g) be the commutator width of g and \rho_2(g) the minimum number of involutions in a factorization of g.

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      Problem 3.1.

      1. Prove that \rho_1 and \rho_2 are bounded
      2. Prove that \rho_1 = 1 and \rho_2 = 3
      3. Is there a finitely presented simple group with commutator width greater or equal to 2?

        • Maximal subgroups in Thompson groups


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          Problem 3.2.

          Find new maximal subgroups of infinite index in Thompson groups

              Cite this as: AimPL: Groups of dynamical origin, available at http://aimpl.org/groupdynamorigin.