Geodesic
On the Residual Finiteness of Free Products of Solvable Minimax Groups with Cyclic Amalgamated Subgroups
Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 483-491

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A necessary and sufficient condition for the residual finiteness of a (generalized) free product of two residually finite solvable-by-finite minimax groups with cyclic amalgamated subgroups is obtained. This generalizes the well-known Dyer theorem claiming that every free product of two polycyclic-by-finite groups with cyclic amalgamated subgroups is a residually finite group.
Keywords: residually finite group, (generalized) free product with amalgamated subgroups, polycyclic-by-finite group, minimax group, subnormal series, Fitting subgroup, FATR group.
Mots-clés : solvable group, Chernikov group 
D. N. Azarov. On the Residual Finiteness of Free Products of Solvable Minimax Groups with Cyclic Amalgamated Subgroups. Matematičeskie zametki, Tome 93 (2013) no. 4, pp. 483-491. http://geodesic.mathdoc.fr/item/MZM_2013_93_4_a0/
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