On the root-class residuality of generalized free products with a~normal amalgamation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 27-44

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

We obtain both necessary and sufficient conditions for the free product of two groups with normal amalgamated subgroups to be a residually $\mathcal C$-group, where $\mathcal C$ is a root class of groups, which must be homomorphically closed in most cases.
Keywords: generalized free product, residual property, root class of groups.
@article{IVM_2015_10_a2,
     author = {E. A. Tumanova},
     title = {On the root-class residuality of generalized free products with a~normal amalgamation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {27--44},
     publisher = {mathdoc},
     number = {10},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_10_a2/}
}
TY  - JOUR
AU  - E. A. Tumanova
TI  - On the root-class residuality of generalized free products with a~normal amalgamation
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2015
SP  - 27
EP  - 44
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2015_10_a2/
LA  - ru
ID  - IVM_2015_10_a2
ER  - 
%0 Journal Article
%A E. A. Tumanova
%T On the root-class residuality of generalized free products with a~normal amalgamation
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2015
%P 27-44
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2015_10_a2/
%G ru
%F IVM_2015_10_a2
E. A. Tumanova. On the root-class residuality of generalized free products with a~normal amalgamation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 27-44. http://geodesic.mathdoc.fr/item/IVM_2015_10_a2/