Hyperbolic subgroups of type FP_2(Ring)

Abstract: In 1996 Gersten proved that if $G$ is a word hyperbolic group of cohomological dimension two and $H$ is a subgroup of type $\mathrm{FP}_2$, then $H$ is hyperbolic as well. I will generalise this result to show that the same is true if $G$ is only assumed to have cohomological dimension two over some ring $R$ and $H$ is of type $\mathrm{FP}_2(R)$.

This is joint work with Robert Kropholler and Vlad Vankov.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper )

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Geometry and topology online

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The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.

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