Geodesic
Subgroups of finite index in Baumslag--Solitar groups
Algebra i logika, Tome 49 (2010) no. 3, pp. 331-345.

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A complete description is given for all subgroups of index $n$ in Baumslag–Solitar groups $BS(p,q)$.
Keywords: two-generator one-relator non-Hopfian group, Baumslag–Solitar group. 
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     author = {F. A. Dudkin},
     title = {Subgroups of finite index in {Baumslag--Solitar} groups},
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     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_3_a1/}
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F. A. Dudkin. Subgroups of finite index in Baumslag--Solitar groups. Algebra i logika, Tome 49 (2010) no. 3, pp. 331-345. http://geodesic.mathdoc.fr/item/AL_2010_49_3_a1/

[1] G. Baumslag, D. Solitar, “Some two-generator one-relator non-Hopfian groups”, Bull. Am. Math. Soc., 68:3 (1962), 199–201 | DOI | MR | Zbl

[2] E. Gelman, “Subgroup growth of Baumslag-Solitar groups”, J. Group Theory, 8:6 (2005), 801–806 | DOI | MR | Zbl

[3] J. O. Button, “A formula for the normal subgroup growth of Baumslag-Solitar groups”, J. Group Theory, 11:6 (2008), 879–884 | DOI | MR | Zbl

[4] O. V. Bogopolskii, Vvedenie v teoriyu grupp, In-t kompyut. issled., Moskva–Izhevsk, 2002

[5] F. A. Dudkin, “Podgruppy grupp Baumslaga-Solitera”, Algebra i logika, 48:1 (2009), 3–30 | MR

[6] A. Mednykh, “Counting conjugacy classes of subgroups in a finitely generated group”, J. Algebra, 320:6 (2008), 2209–2217 | DOI | MR | Zbl