无界死端深度性质不是群不变量
The unbounded dead-end depth property is not a group invariant
摘要：
有限生成集A的群的元素g的死端深度是从g到半径d（1，g）闭球的补数的距离，在与A相关联的词度量d中。我们证明了一个具有两个有限生成集A和B的群K，使得K上关于A的死端深度是无界的，但关于B的死端深度至多为2。
英文摘要：
The dead-end depth of an element g of a group with finite generating set A is the distance from g to the complement of the radius d(1,g) closed ball, in the word metric d associated to A. We exhibit a finitely presented group K with two finite generating sets A and B such that dead-end depth is unbounded on K with respect to A but is at most two with respect to B.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
