Geodesic
On embedings of the free group into the group of infinite unitriangular matrices
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 35, Tome 484 (2019), pp. 55-58
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With the help of the ping-pong lemma we prove that some 2-generated subgroups of the group of infinite unitriangular integer matrices are tree. Some of these examples are similar to the celebrated examples by W. Hołubowski (2003). 
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A. I. Generalov; A. S. Mironov. On embedings of the free group into the group of infinite unitriangular matrices. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 35, Tome 484 (2019), pp. 55-58. http://geodesic.mathdoc.fr/item/ZNSL_2019_484_a3/

[1] W. Hołubowski, “Free subgroups of the group of infinite unitriangular matrices”, Int. J. Algebra and Comput., 13:1 (2003), 81–86 | DOI | MR