Geodesic
Root Class Residuality of HNN-Extensions with Central Cyclic Associated Subgroups
Matematičeskie zametki, Tome 102 (2017) no. 4, pp. 597-612

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

Let $\mathcal{R}$ be a root class of groups which is closed with respect to passage to quotient groups and contains at least one nonidentity group. A criterion for the $\mathcal{R}$-residuality of an HNN-extension whose associated subgroups are cyclic and belong to the center of the base group is obtained.
Keywords: root class residuality, residual solvability, residual $p$-finiteness, HNN-extension. 
@article{MZM_2017_102_4_a11,
     author = {E. V. Sokolov and E. A. Tumanova},
     title = {Root {Class} {Residuality} of {HNN-Extensions} with {Central} {Cyclic} {Associated} {Subgroups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {597--612},
     publisher = {mathdoc},
     volume = {102},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_4_a11/}
}
TY  - JOUR
AU  - E. V. Sokolov
AU  - E. A. Tumanova
TI  - Root Class Residuality of HNN-Extensions with Central Cyclic Associated Subgroups
JO  - Matematičeskie zametki
PY  - 2017
SP  - 597
EP  - 612
VL  - 102
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2017_102_4_a11/
LA  - ru
ID  - MZM_2017_102_4_a11
ER  - 
%0 Journal Article
%A E. V. Sokolov
%A E. A. Tumanova
%T Root Class Residuality of HNN-Extensions with Central Cyclic Associated Subgroups
%J Matematičeskie zametki
%D 2017
%P 597-612
%V 102
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2017_102_4_a11/
%G ru
%F MZM_2017_102_4_a11
E. V. Sokolov; E. A. Tumanova. Root Class Residuality of HNN-Extensions with Central Cyclic Associated Subgroups. Matematičeskie zametki, Tome 102 (2017) no. 4, pp. 597-612. http://geodesic.mathdoc.fr/item/MZM_2017_102_4_a11/