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Matematicheskie Zametki, 2014, Volume 95, Issue 4, Pages 605–614
DOI: https://doi.org/10.4213/mzm10210 (Mi mzm10210) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On the Residual $\pi$-Finiteness of Generalized Free Products of Groups

E. A. Tumanova

Ivanovo State University
Full-text PDF (453 kB) Citations (11) English version article
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DOI: https://doi.org/10.4213/mzm10210
Abstract: A criterion for the approximability by finite $\pi$-groups of a generalized free product of two finite $\pi$-groups with normal amalgamated subgroups is obtained. Using this criterion, for a generalized free product of two arbitrary groups with normal amalgamation, we find both necessary and sufficient conditions for the residual $\pi$-finiteness that are similar to the Baumslag conditions for the property of residual finiteness. Some applications of this result are indicated.
Keywords: residual finiteness, residual $\pi$-finiteness, generalized free product with normal amalgamation, approximability by finite $\pi$-groups.
Received: 05.10.2012
Revised: 11.06.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 4, Pages 544–551
DOI: https://doi.org/10.1134/S0001434614030262
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: E. A. Tumanova, “On the Residual $\pi$-Finiteness of Generalized Free Products of Groups”, Mat. Zametki, 95:4 (2014), 605–614; Math. Notes, 95:4 (2014), 544–551
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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