论文标题
类型$ fp_2 $组的同源功能
Homological Dehn functions of groups of type $FP_2$
论文作者
论文摘要
我们证明了类型$ fp_2 $组的同源性功能的基础结果，例如超级毒性和准时分配下的不变性。然后，我们研究Leary的组$ g_l（s）的同源性功能，提供了获得许多具有给定同源功能的小组的方法。这使我们能够证明存在类型$ fp_2 $的组具有四分之一的同源性dehn函数和无法解决的单词问题。
We prove foundational results for homological Dehn functions of groups of type $FP_2$ such as superadditivity and the invariance under quasi-isometry. We then study the homological Dehn functions of Leary's groups $G_L(S)$ providing methods to obtain uncountably many groups with a given homological Dehn function. This allows us to show that there exist groups of type $FP_2$ with quartic homological Dehn function and unsolvable word problem.
