On the Root-Class Residuallity of Generalized Free Products
Let K be a root class of groups. It is proved that a free product of any family of residually K groups with one amalgamated subgroup, which is a retract in all free factors, is residually K. The sufficient condition for a generalized free product of two groups to be residually K is also obtained, pr...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Yaroslavl State University
2013-02-01
|
| Series: | Modelirovanie i Analiz Informacionnyh Sistem |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/225 |
| Summary: | Let K be a root class of groups. It is proved that a free product of any family of residually K groups with one amalgamated subgroup, which is a retract in all free factors, is residually K. The sufficient condition for a generalized free product of two groups to be residually K is also obtained, provided that the amalgamated subgroup is normal in one of the free factors and is a retract in another. |
|---|---|
| ISSN: | 1818-1015 2313-5417 |