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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 484, Pages 55–58 (Mi znsl6857)  
On embedings of the free group into the group of infinite unitriangular matrices

A. I. Generalov, A. S. Mironov

St. Petersburg State University, Mathematics and Mechanics Faculty
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Abstract: 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).
Key words and phrases: group of infinite unitriangular integer matrices, free group, ping-pong lemma.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00258_а
Received: 09.09.2019
Document Type: Article
UDC: 512.5
Language: Russian
Citation: A. I. Generalov, A. S. Mironov, “On embedings of the free group into the group of infinite unitriangular matrices”, Problems in the theory of representations of algebras and groups. Part 35, Zap. Nauchn. Sem. POMI, 484, POMI, St. Petersburg, 2019, 55–58
Citation in format AMSBIB
\Bibitem{GenMir19}
\by A.~I.~Generalov, A.~S.~Mironov
\paper On embedings of the free group into the group of infinite unitriangular matrices
\inbook Problems in the theory of representations of algebras and groups. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 484
\pages 55--58
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6857}
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