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On Embeddings of the Free Group into the Group of Infinite Unitriangular Matrices

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With the help of the ping-pong lemma it is proved that some 2-generated subgroups of the group of infinite unitriangular integer matrices are free. Some of these examples are similar… Click to show full abstract

With the help of the ping-pong lemma it is proved that some 2-generated subgroups of the group of infinite unitriangular integer matrices are free. Some of these examples are similar to the celebrated examples by W. Holubowski (2003).

Keywords: group infinite; group group; free group; infinite unitriangular; group; embeddings free

Journal Title: Journal of Mathematical Sciences
Year Published: 2021

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