论文标题

同源稳定性:计算工具

Homological stability: a tool for computations

论文作者

Wahl, Nathalie

论文摘要

同源稳定性表明自己是计算一般线性群体,映射班级组或自由群体的自动形态的群体同源性的强大工具。我们在这里调查了证明同源稳定性定理和计算稳定同源性的工具和技术,并通过计算Higman-Thompson组的同源性来说明方法。

Homological stability has shown itself to be a powerful tool for the computation of homology of families of groups such as general linear groups, mapping class groups or automorphisms of free groups. We survey here tools and techniques for proving homological stability theorems and for computing the stable homology, and illustrate the method through the computation of the homology of Higman-Thompson groups.

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