111
Views
1
CrossRef citations to date
0
Altmetric
Articles

Finite index subgroups in non-large generalized Baumslag–Solitar groups

Pages 3736-3742 | Received 08 Dec 2020, Accepted 11 Mar 2021, Published online: 07 Apr 2021

References

  • Baumslag, G., Solitar, D. (1962). Some two-generator one-relator non-Hopfian groups. Bull. Amer. Math. Soc. 68(3):199–201. DOI: 10.1090/S0002-9904-1962-10745-9.
  • Bogopolski, O. (2008). Introduction to Group Theory. Zurich: EMS Publishing House, p. 117.
  • Button, J. O. (2008). A formula for the normal subgroup growth of Baumslag-Solitar groups. J. Group Theory 11( 6):879–884.
  • Dudkin, F. A. (2010). Subgroups of finite index in Baumslag-Solitar groups. Algebra Logic. 49(3):221–232. DOI: 10.1007/s10469-010-9091-8.
  • Edjvet, M., Pride, S. J. (1984). The concept of “largeness” in group theory II. In: Groups-Korea 1983. Berlin: Springer.
  • Gelman, E. (2005). Subgroup growth of Baumslag-Solitar groups. J. Group Theory 8(6):801–806.
  • Button, J. O. (2008). Large groups of deficiency 1. Isr. J. Math. 167(1):111–140. DOI: 10.1007/s11856-008-1043-9.
  • Levitt, G. (2015). Generalized Baumslag–Solitar groups: Rank and finite index subgroups. Ann. Inst. Fourier 65(2):725–762. DOI: 10.5802/aif.2943.
  • Pride, S. J. (1980). The concept of “largeness” in group theory. In: Word Problems (II), Stud. Logic Foundations Math, Vol. 95. North-Holland, Amsterdam, New York: Elsevier, pp. 299–335.
  • Serre, J. P. (1980). Trees. Berlin/Heidelberg/New York: Springer.
  • Robinson, D. J. S. (2015). Generalized Baumslag–Solitar groups: a survey of recent progress. London Math. Soc. Lect. Note Ser., Vol. 422. Cambridge: Cambridge University Press, pp. 457–469.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.