Extensions of groups (Ex)
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− | Are there extensions of groups $1 \to H \to G \to \Z$ such that $G$ is hyperbolic? | + | Are there extensions of groups $1 \to H \to G \to \Z$ such that $G$ is hyperbolic and $H$ is nontrivial, torsionfree, and finitely generated? |
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[[Category:Exercises]] | [[Category:Exercises]] | ||
[[Category:Exercises without solution]] | [[Category:Exercises without solution]] |
Latest revision as of 06:57, 8 January 2019
Are there extensions of groups such that is hyperbolic and is nontrivial, torsionfree, and finitely generated?
\to H \to G \to \Z$ such that $G$ is hyperbolic? [[Category:Exercises]] [[Category:Exercises without solution]]1 \to H \to G \to \Z such that is hyperbolic and is nontrivial, torsionfree, and finitely generated?