Let F be the free metabelian Leibniz algebra over with free generators x1 and x2; here metabelian means that the derived algebra [F, F] is abelian. We also consider the free metabelian bicommutative algebra M over with free generators x1 and x2. In the present study, we obtain a free generating set of [F, F]D2n as a module, where D2n is the dihedral group of order 2n. Next, we show that the algebra MD2n of D2n-invariants is three generated as a -module.
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Öğüşlü et al. (2026) studied this question.
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