Geodesic
Subgroups of word hyperbolic groups in rational dimension 2
Shivam Arora1 ; Eduardo Martínez-Pedroza1
1Memorial University of Newfoundland, St John's, Canada
Groups, geometry, and dynamics, Tome 15 (2021) no. 1, pp. 83-100

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DOI

A result of Gersten states that if G is a hyperbolic group with integral cohomological dimension cdZ​(G)=2 then every finitely presented subgroup is hyperbolic. We generalize this result for the rational case cdQ​(G)=2. In particular, the result applies to the class of torsion-free hyperbolic groups G with cdZ​(G)=3 and cdQ​(G)=2 discovered by Bestvina and Mess.
DOI : 10.4171/ggd/592
Classification : 20-XX, 57-XX
Mots-clés : Hyperbolic group, cohomological dimension, finiteness properties, homological Dehn function

Shivam Arora  1   ; Eduardo Martínez-Pedroza  1

1 Memorial University of Newfoundland, St John's, Canada 
Shivam Arora; Eduardo Martínez-Pedroza. Subgroups of word hyperbolic groups in rational dimension 2. Groups, geometry, and dynamics, Tome 15 (2021) no. 1, pp. 83-100. doi: 10.4171/ggd/592
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     pages = {83--100},
     year = {2021},
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     doi = {10.4171/ggd/592},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/592/}
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