On the Root-Class Residuallity of Generalized Free Products
https://doi.org/10.18255/1818-1015-2013-1-133-137
Abstract
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.
About the Author
E. A. Tumanova
Ivanovo State University
Russian Federation
Russian Federation
аспирант кафедры алгебры и математической логики,
ul. Ermaka, 39, Ivanovo, 153025 Russia
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Review
For citations:
Tumanova E.A. On the Root-Class Residuallity of Generalized Free Products. Modeling and Analysis of Information Systems. 2013;20(1):133-137. (In Russ.) https://doi.org/10.18255/1818-1015-2013-1-133-137
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