Extensions of groups (Ex)

Revision as of 06:56, 8 January 2019 (view source) Kevin Yin (Talk | contribs) ← Older edit		Latest revision as of 06:57, 8 January 2019 (view source) Kevin Yin (Talk | contribs)
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−	Are there extensions of groups $1 \to H \to G \to \Z$ such that $G$ is hyperbolic and $H$ is nontrivial torsionfree?	+	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?
	</wikitex>		</wikitex>
	[[Category:Exercises]]		[[Category:Exercises]]
	[[Category:Exercises without solution]]		[[Category:Exercises without solution]]

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Latest revision as of 06:57, 8 January 2019

Are there extensions of groups $<wikitex>; Are there extensions of groups 1 \to H \to G \to \Z$ such that $G$ is hyperbolic and $H$ is nontrivial, torsionfree, and finitely generated?

\to H \to G \to \Z$ such that $G$ is hyperbolic and $H$ is nontrivial torsionfree? [[Category:Exercises]] [[Category:Exercises without solution]]1 \to H \to G \to \Z such that $G$ is hyperbolic and $H$ is nontrivial, torsionfree, and finitely generated?