具有线性sci增长的群
On groups with linear sci growth
摘要：
证明了双曲群的半稳定性增长是线性的，这意味着双曲群在无穷远点单连通时具有线性的单连通增长。基于线性的端部深度的双提出的群体，我们证明了线性sci下的合并产品保持双生成的单端群体。最后证明了大多数非均匀格都具有线性sci。
英文摘要：
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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