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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
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
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
Linking options:
https://www.mathnet.ru/eng/al452 https://www.mathnet.ru/eng/al/v49/i4/p520
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