Geodesic
The abstract commensurator of Baumslag–Solitar groups
Algebra i logika, Tome 52 (2013) no. 1, pp. 64-83

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Presentations are found for automorphism groups of all subgroups of finite index in the Baumslag–Solitar group with coprime integer parameters not equal to $0,1$, and $-1$. An abstract commensurator of Baumslag–Solitar groups with the same parameters is described.
Keywords: Baumslag–Solitar group, subgroup of finite index, abstract commensurator
Mots-clés : automorphism group. 
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     author = {F. A. Dudkin},
     title = {The abstract commensurator of {Baumslag{\textendash}Solitar} groups},
     journal = {Algebra i logika},
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     volume = {52},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2013_52_1_a4/}
}
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F. A. Dudkin. The abstract commensurator of Baumslag–Solitar groups. Algebra i logika, Tome 52 (2013) no. 1, pp. 64-83. http://geodesic.mathdoc.fr/item/AL_2013_52_1_a4/