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Algebra i logika, 2010, Volume 49, Number 4, Pages 520–554 (Mi al452)  
This article is cited in 1 scientific paper (total in 1 paper)

Complementing a finite subgroup of a hyperbolic group by a free factor

K. S. Sviridov

Novosibirsk, Russia
Full-text PDF (327 kB) Citations (1)
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Abstract: We give necessary and sufficient conditions for a finite subgroup $H$ of a hyperbolic group $G$ to contain a free subgroup $F$ of rank two in $G$ such that $F$ and $H$ generate a free product $F*H$. A verification algorithm for these conditions is pointed out.
Keywords: hyperbolic group, finite subgroup, free product.
Received: 16.12.2009
English version:
Algebra and Logic, 2010, Volume 49, Issue 4, Pages 354–377
DOI: https://doi.org/10.1007/s10469-010-9101-x
Bibliographic databases:
Document Type: Article
UDC: 512.543+514.133
Language: Russian
Citation: K. S. Sviridov, “Complementing a finite subgroup of a hyperbolic group by a free factor”, Algebra Logika, 49:4 (2010), 520–554; Algebra and Logic, 49:4 (2010), 354–377
Citation in format AMSBIB
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\issue 4
\pages 354--377
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:208
    Full-text PDF :67
    References:44
    First page:4
     
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