Fractal just infinite nil Lie superalgebra of finite width

Thus, we have got a more handy analogue of the Grigorchuk and Gupta-Sidki groups. The constructed Lie superalgebra R is of linear growth, of finite width 4, and just infinite. It also shows that an extension of the result of Martinez and Zelmanov [32] to the Lie superalgebras of characteristic zero is not valid.