Some remarks on the ends of groups.
A survey on just-non- groups.
On the simple connectivity at infinity of groups
We study the simple connectivity at infinity of groups of finite presentation, and we give a geometric proof of its invariance under quasi-isometry in a special case.
Topologia asintotica dei gruppi connessione all'infinito e semplice connessione geometrica
On groups with linear sci growth
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.
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