Necessary conditions of the approximability of generalized free products and
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2017), pp. 36-47

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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.
@article{IVM_2017_9_a3,
     author = {A. E. Kuvaev and E. V. Sokolov},
     title = {Necessary conditions of the approximability of generalized free products and},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--47},
     publisher = {mathdoc},
     number = {9},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_9_a3/}
}
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A. E. Kuvaev; E. V. Sokolov. Necessary conditions of the approximability of generalized free products and. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2017), pp. 36-47. http://geodesic.mathdoc.fr/item/IVM_2017_9_a3/