Geodesic
Finitely Generated Subgroups of HNN Groups
Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 1103-1112

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we give sufficient conditions for an HNN group to have the following two properties:(1) any two finitely generated subgroups intersect in a finitely generated subgroup;(2) every finitely generated subgroup containing a non-trivial subnormal subgroup has finite index.The following result is a particular case of the main theorem. 
Burns, R. G. Finitely Generated Subgroups of HNN Groups. Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 1103-1112. doi: 10.4153/CJM-1973-117-7
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[3] 3. Karrass, A. and Solitar, D., Subgroups of HNN groups and groups with one defining relation, Can. J. Math. 23 (1971), 627–643. Google Scholar

[4] 4. Moldavanskii, D. I., The intersection of finitely generated subgroups, Sibirsk.Mat.Ž. 9 (1968), 1422–1426. Google Scholar

[5] 5. Oxley, P. C., Ends of groups and a related construction, Ph.D. Thesis, Queen Mary College, 1971. Google Scholar

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