Geodesic
On the Root-Class Residuallity of Generalized Free Products
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 133-137

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Let $\mathcal{K}$ be a root class of groups. It is proved that a free product of any family of residually $\mathcal{K}$ groups with one amalgamated subgroup, which is a retract in all free factors, is residually $\mathcal{K}$. The sufficient condition for a generalized free product of two groups to be residually $\mathcal{K}$ is also obtained, provided that the amalgamated subgroup is normal in one of the free factors and is a retract in another.
Keywords: free product with one amalgamated subgroup, root class of groups, root-class residuallity
Mots-clés : retract. 
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     author = {E. A. Tumanova},
     title = {On the {Root-Class} {Residuallity} of {Generalized} {Free} {Products}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
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E. A. Tumanova. On the Root-Class Residuallity of Generalized Free Products. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 133-137. http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a8/