eng URI http://hdl.handle.net/10795/3202 εφαρμοσμένες επιστήμες μαθηματικά We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over finitely generated one-ended groups. Eventually one proves that most non-uniform lattices have linear sci. 16 pp. LOMv1.0 creator LOMv1.0 Scientific Coordinator LOMv1.0 Project Executing Organisation 2015 Digital Library of the Operational Programme "Education and Lifelong Learning" abstract types Text Simple connectivity at infinity, Quasi-isometry, End-depth, Lattices In Lie groups, Amalgamated products 337157 application/pdf http://repository.edulll.gr/edulll/bitstream/10795/3202/2/3202_1.39_%ce%94%ce%97%ce%9c_11_7_14.pdf URI http://hdl.handle.net/10795/3202 LOMv1.0creator 2016-05-18T10:09:14Z LOMv1.0validator 2016-05-18T10:09:14Z LOMv1.0 gre no no Copyright EYD-EPEDBM (Operational Programme "Education and Lifelong Learning")