Geodesic
Examples of two-dimensional pro-$p$-groups and Lie algebras
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 263-271

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Several examples of pro-$p$-groups and profinite-nilpotent Lie algebras of dimension two are given. In particular, a negative answer is given to one of the questions raised by L.V. Kuz'min. An essential role in the construction of these examples is played by the author's criterion regarding dimension two and by H. Koch's results. 
@article{ZNSL_1987_160_a26,
     author = {V. M. Tsvetkov},
     title = {Examples of two-dimensional pro-$p$-groups and {Lie} algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {263--271},
     publisher = {mathdoc},
     volume = {160},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a26/}
}
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V. M. Tsvetkov. Examples of two-dimensional pro-$p$-groups and Lie algebras. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 8, Tome 160 (1987), pp. 263-271. http://geodesic.mathdoc.fr/item/ZNSL_1987_160_a26/