Abstract:
We obtain a generalization of Shirvani results on necessary conditions of the residual finiteness of generalized free products and HNN-extensions for the case of the property "to be residually a $\mathcal{C}$-group", where $\mathcal{C}$ is an arbitrary class of groups.
Keywords:residual properties, free product of groups with one amalgamated subgroup, multiple HNN-extension.
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