Abstract
ABSTRACTFor c≥2, the free center-by-(nilpotent-of-class-c-1)-by-abelian Lie ring on a set X is the quotient where L is the free Lie ring on X, and denotes the cth term of the lower central series of the derived ideal of L. In this paper, we give a complete description of the torsion subgroup of its additive group in the case where |X| = 2 and c is a prime number.
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