Abstract
For the free product 〈s |s a=1〉*〈t|t b=1〉 we give a precise description of the wordsu ins,t which are primitive (i.e. there exists an elementv such thatu,v generate the whole group).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Nielsen. Die Isomorphismen der allgemeinen, unendlichen Gruppe mit zwei Erzeugenden.Math. Ann. 78 (1918), 385–397.
R.P. Osborne andH. Zieschang. Primitives in the Free Group on Two Generators.Invent. math. 63 (1981), 17–24.
E.-M. Thiele.Primitive Elemente im freien Produkt zweier zyklischer Gruppen. Diplomarbeit, Bochum 1990.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lustig, M., Thiele, E.M. & Zieschang, H. Primitive elements in the free product of two finite cyclic groups. Abh.Math.Semin.Univ.Hambg. 65, 277–281 (1995). https://doi.org/10.1007/BF02953334
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02953334