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This article is cited in 23 scientific papers (total in 23 papers)
Periodic factor of hyperbolic groups
A. Yu. Ol'shanskii M. V. Lomonosov Moscow State University
Abstract:
It is proved that for any noncyclic hyperbolic torsion-free group $G$ there exists an integer $n(G)$ such that the factor group $G/G^n$ is infinite for any odd $n\geqslant n(G)$. In addition, $\bigcap_{i=1}^\infty G^i=\{1\}$. (Here $G^i$ is the subgroup generated by the $i$th powers of all elements of the groups $G$.)
Received: 17.05.1990
Citation:
A. Yu. Ol'shanskii, “Periodic factor of hyperbolic groups”, Mat. Sb., 182:4 (1991), 543–567; Math. USSR-Sb., 72:2 (1992), 519–541
Linking options:
https://www.mathnet.ru/eng/sm1310https://doi.org/10.1070/SM1992v072n02ABEH002149 https://www.mathnet.ru/eng/sm/v182/i4/p543
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Abstract page: | 649 | Russian version PDF: | 227 | English version PDF: | 8 | References: | 61 | First page: | 1 |
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