Morse theory and conjugacy classes of finite subgroups II

We construct a hyperbolic group containing a finitely presented subgroup, which has infinitely many conjugacy classes of finite-order elements. We also use a version of Morse theory with high dimensional horizontal cells and use handle cancellation arguments to produce other examples of subgroups of...

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Bibliographic Details
Published inGeometriae dedicata Vol. 147; no. 1; pp. 1 - 14
Main Authors Brady, Noel, Clay, Matt, Dani, Pallavi
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.08.2010
Subjects
Algebraic Geometry
Convex and Discrete Geometry
Differential Geometry
Hyperbolic Geometry
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Topology
Morse theory
Conjugacy classes of finite subgroups
20F67
20E45
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Summary:We construct a hyperbolic group containing a finitely presented subgroup, which has infinitely many conjugacy classes of finite-order elements. We also use a version of Morse theory with high dimensional horizontal cells and use handle cancellation arguments to produce other examples of subgroups of CAT(0) groups with infinitely many conjugacy classes of finite-order elements.
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-009-9435-5