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Matematicheskie Zametki, 2013, Volume 93, Issue 4, Pages 483–491
DOI: https://doi.org/10.4213/mzm8971 (Mi mzm8971) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Residual Finiteness of Free Products of Solvable Minimax Groups with Cyclic Amalgamated Subgroups

D. N. Azarov

Ivanovo State University
Full-text PDF (432 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm8971
Abstract: 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, solvable group, subnormal series, Chernikov group, Fitting subgroup, FATR group.
Received: 17.01.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 4, Pages 503–509
DOI: https://doi.org/10.1134/S0001434613030188
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: D. N. Azarov, “On the Residual Finiteness of Free Products of Solvable Minimax Groups with Cyclic Amalgamated Subgroups”, Mat. Zametki, 93:4 (2013), 483–491; Math. Notes, 93:4 (2013), 503–509
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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