标题： 随机抛物双曲群的子群和双曲嵌入 显示英文标题

标题： Random subgroups of acylindrically hyperbolic groups and hyperbolic embeddings

摘要： 设G为一个双曲的非圆滑群。 我们考虑G中的一个随机子群H，由一组独立的随机游走生成。 我们证明，随着渐近概率为一，这样的随机子群H是自由群，并且H在E(G)上的半直积在G中是双曲嵌入的，其中E(G)是G的唯一极大有限正规子群。 显示英文摘要

摘要： Let G be an acylindrically hyperbolic group. We consider a random subgroup H in G, generated by a finite collection of independent random walks. We show that, with asymptotic probability one, such a random subgroup H of G is a free group, and the semidirect product of H acting on E(G) is hyperbolically embedded in G, where E(G) is the unique maximal finite normal subgroup of G.