Baumslag-Solitar group
These groups were studied by Baumslag and Solitar[1], who were interested in finding examples of finitely generated non-Hopfian (http://planetmath.org/HopfianGroup) groups. In particular, the group
is non-Hopfian.
References
- 1 G. Baumslag, D. Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math. Soc., 68 (1962) 199–201. (This paper is http://projecteuclid.org/euclid.bams/1183524561available on-line from Project Euclid.)
- 2 D. J. Collins, http://eom.springer.de/b/b130070.htmBaumslag–Solitar group, in the Online Encyclopaedia of Mathematics.
Title | Baumslag-Solitar group |
---|---|
Canonical name | BaumslagSolitarGroup |
Date of creation | 2013-03-22 17:25:12 |
Last modified on | 2013-03-22 17:25:12 |
Owner | yark (2760) |
Last modified by | yark (2760) |
Numerical id | 5 |
Author | yark (2760) |
Entry type | Definition |
Classification | msc 20F05 |
Synonym | Solitar-Baumslag group |