Baumslag-Solitar group

A Baumslag-Solitar group is a group with presentationMathworldPlanetmathPlanetmathPlanetmath


for some non-zero integers m and n.

These groups were studied by Baumslag and Solitar[1], who were interested in finding examples of finitely generatedMathworldPlanetmathPlanetmathPlanetmath non-Hopfian ( groups. In particular, the group


is non-Hopfian.


  • 1 G. Baumslag, D. Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math. Soc., 68 (1962) 199–201. (This paper is on-line from Project Euclid.)
  • 2 D. J. Collins,–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