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A Combination Theorem for Relatively Hyperbolic Groups
Author(s) -
Alibegović Emina
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304004059
Subject(s) - mathematics , hyperbolic manifold , hyperbolic group , relatively hyperbolic group , pure mathematics , graph , mathematics subject classification , hyperbolic function , simple (philosophy) , limit (mathematics) , discrete mathematics , mathematical analysis , philosophy , epistemology
Given a graph of δ‐hyperbolic spaces, this paper gives sufficient conditions that ensure that the graph itself is δ‐hyperbolic. As an application, a simple proof is given to show that limit groups are relatively hyperbolic. 2000 Mathematics Subject Classification 57M07, 20F65.