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Branched Coverings of Cubical Complexes and Subgroups of Hyperbolic Groups
Author(s) -
Brady Noel
Publication year - 1999
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799007644
Subject(s) - mathematics , hyperbolic triangle , hyperbolic group , hyperbolic geometry , relatively hyperbolic group , euclidean geometry , piecewise , torsion (gastropod) , combinatorics , pure mathematics , hyperbolic manifold , hyperbolic function , geometry , mathematical analysis , algebraic geometry , medicine , surgery
By considering branched coverings of piecewise Euclidean cubical complexes, the paper provides an example of a torsion free hyperbolic group containing a finitely presented subgroup which is not hyperbolic.