Geodesic
Subgroups of Baumslag–Solitar groups
Algebra i logika, Tome 48 (2009) no. 1, pp. 3-30

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For a graph of groups, elementary conditions are derived that are necessary and sufficient for its fundamental group to be isomorphic to a subgroup of a Baumslag–Solitar group with various simple parameters. This gives a description of all subgroups of such groups.
Keywords: Baumslag–Solitar group, subgroup, graph of groups, covers of graphs of groups. 
@article{AL_2009_48_1_a0,
     author = {F. A. Dudkin},
     title = {Subgroups of {Baumslag{\textendash}Solitar} groups},
     journal = {Algebra i logika},
     pages = {3--30},
     publisher = {mathdoc},
     volume = {48},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2009_48_1_a0/}
}
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F. A. Dudkin. Subgroups of Baumslag–Solitar groups. Algebra i logika, Tome 48 (2009) no. 1, pp. 3-30. http://geodesic.mathdoc.fr/item/AL_2009_48_1_a0/