Geodesic
Lower central series of Baumslag–Solitar groups
Algebra i logika, Tome 59 (2020) no. 4, pp. 413-431

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

We look at Baumslag–Solitar groups. Lower central series are given for residually nilpotent Baumslag–Solitar groups. For some Baumslag–Solitar groups that are not residually nilpotent, we find the intersection of all terms of the lower central series. Also we point out non-Abelian Baumslag–Solitar groups having lower central series of length 2. For some Baumslag–Solitar groups, a relationship is established between an intersection of subgroups of finite index and an intersection of terms of the lower central series.
Keywords: Baumslag–Solitar groups, residual nilpotency, lower central series. 
@article{AL_2020_59_4_a0,
     author = {V. G. Bardakov and M. V. Neshchadim},
     title = {Lower central series of {Baumslag{\textendash}Solitar} groups},
     journal = {Algebra i logika},
     pages = {413--431},
     publisher = {mathdoc},
     volume = {59},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2020_59_4_a0/}
}
TY  - JOUR
AU  - V. G. Bardakov
AU  - M. V. Neshchadim
TI  - Lower central series of Baumslag–Solitar groups
JO  - Algebra i logika
PY  - 2020
SP  - 413
EP  - 431
VL  - 59
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2020_59_4_a0/
LA  - ru
ID  - AL_2020_59_4_a0
ER  - 
%0 Journal Article
%A V. G. Bardakov
%A M. V. Neshchadim
%T Lower central series of Baumslag–Solitar groups
%J Algebra i logika
%D 2020
%P 413-431
%V 59
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2020_59_4_a0/
%G ru
%F AL_2020_59_4_a0
V. G. Bardakov; M. V. Neshchadim. Lower central series of Baumslag–Solitar groups. Algebra i logika, Tome 59 (2020) no. 4, pp. 413-431. http://geodesic.mathdoc.fr/item/AL_2020_59_4_a0/