Geodesic
On the virtually residually $p$-finiteness of free product of polycyclic groups with normal amalgamated subgroups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 64-71

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Let $G$ be a free product of polycyclic groups $A$ and $B$ with normal amalgamated subgroups $H$ and $K$. We prove that, for any prime $p$, the group $G$ is a virtually residually finite $p$-group.
Keywords: generalized free product, virtually residually a finite $p$-group.
Mots-clés : polycyclic group 
@article{IVM_2014_11_a6,
     author = {A. V. Rozov},
     title = {On the virtually residually $p$-finiteness of free product of polycyclic groups with normal amalgamated subgroups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--71},
     publisher = {mathdoc},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_11_a6/}
}
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A. V. Rozov. On the virtually residually $p$-finiteness of free product of polycyclic groups with normal amalgamated subgroups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2014), pp. 64-71. http://geodesic.mathdoc.fr/item/IVM_2014_11_a6/