Geodesic
On the Virtual Residuality of Baumslag--Solitar Groups by Finite p-Groups
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 116-123.

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $\pi $ be a set of primes. For Baumslag–Solitar groups the necessary and sufficient condition to be virtual residuality by finite $\pi $-groups is obtained.
Keywords: Baumslag–Solitar group, virtual residuality by finite $p$-groups. 
@article{MAIS_2013_20_1_a6,
     author = {D. N. Azarov},
     title = {On the {Virtual} {Residuality} of {Baumslag--Solitar} {Groups} by {Finite} {p-Groups}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {116--123},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a6/}
}
TY  - JOUR
AU  - D. N. Azarov
TI  - On the Virtual Residuality of Baumslag--Solitar Groups by Finite p-Groups
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2013
SP  - 116
EP  - 123
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a6/
LA  - ru
ID  - MAIS_2013_20_1_a6
ER  - 
%0 Journal Article
%A D. N. Azarov
%T On the Virtual Residuality of Baumslag--Solitar Groups by Finite p-Groups
%J Modelirovanie i analiz informacionnyh sistem
%D 2013
%P 116-123
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a6/
%G ru
%F MAIS_2013_20_1_a6
D. N. Azarov. On the Virtual Residuality of Baumslag--Solitar Groups by Finite p-Groups. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 116-123. http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a6/

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

[2] S. Meskin, “Nonresidually finite one-relator groups”, Trans. Amer. Math. Soc., 164 (1972), 105–114 | DOI | MR | Zbl

[3] D. I. Moldavanskiy, “Approksimiruyemost' konechnymi $p$–gruppami HNN–rasshireniy”, Vestnik Ivan. gos. un-ta. Ser.: Biologiya. Khimiya. Fizika. Matematika, 3 (2000), 129–140 (in Russian)

[4] K. W. Gruenberg, “Residual properties of infinite soluble groups”, Proc. London Math. Soc., 7 (1957), 29–62 | DOI | MR | Zbl

[5] J. MsSarron, “Residually nilpotent one-relator groups with nontrivial centre”, Proc. Amer. Math. Soc., 124:1 (1996), 1–5 | DOI | MR

[6] I. A. Varlamova, D. I. Moldavanskiy, “Ob approksimiruyemosti konechnymi gruppami grupp Baumslaga–Solitera”, Vestnik Ivan. gos. un-ta. Ser.: Yestestvennyye, obshchestvennyye nauki, 2 (2012), 107–114 (in Russian)

[7] O. A. Ivanova, D. I. Moldavanskiy, “Approksimiruyemost' konechnymi $\pi $–gruppami nekotorykh grupp s odnim opredelyayushchim sootnosheniyem”, Nauchn. tr. Ivan. gos un-ta. Matematika, 6 (2008), 51–58 (in Russian)