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

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

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. Hołubowski (2003).

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-02, Vol.252 (6), p.782-783
Hauptverfasser: Generalov, A. I., Mironov, A. S.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Subgroups
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Zusammenfassung: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. Hołubowski (2003).
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05198-5