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In this paper we determine the Lie algebra associated to the lower central series of the group      ⟨  x , y : x p = 1 ⟩  \langle x,y:{x^p} = 1\rangle      ,  p  a prime.

The lower central series of the group ⟨𝑥,𝑦: 𝑥^{𝑝}=1⟩