Article contents
Most finitely generated subgroups of infinite unitriangular matrices are free
Published online by Cambridge University Press: 17 April 2009
Extract
In this note we prove that the group G of infinite dimensional upper unitriangular matrices over a finite field contains an explicit countable subgroup ‘full’ of free subgroups. We deduce from this fact that, in a suitable sense, almost all k–generator subgroups of G are free groups of rank k.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 419 - 423
- Copyright
- Copyright © Australian Mathematical Society 2002
References
- 2
- Cited by