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Finite subgroups of hyperbolic groups. (English. Russian original) Zbl 0901.20022
Algebra Logic 34, No. 6, 343-345 (1995); translation from Algebra Logika 34, No. 6, 619-622 (1995).
Summary: For a hyperbolic group $$G$$ with coefficient $$\delta$$ with respect to a finite generating set $$X$$, it is proved that any finite subgroup of $$G$$ is conjugate to a subgroup $$H$$ such that each element of $$H$$ has length at most $$2\delta+1$$ with respect to $$X$$.

##### MSC:
 20F65 Geometric group theory 57M07 Topological methods in group theory 20E07 Subgroup theorems; subgroup growth 20F05 Generators, relations, and presentations of groups
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