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arXiv 2102.09887math.GR
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部分酰基化作用的可及性

Accessibility of partially acylindrical actions

Michael Edward Hill

摘要:

Weidmann在以前的一篇论文中证明了一个树的边的轨道数有一个界,在这个树上有限生成群作用于$(k,C)$ -非圆柱上.在本文中,我们将这一结果推广到行动是$k$ -acylinerase除了一个家庭的群体与“有限的高度”。我们还给出了一个例子,给出了一个否定的结果,魏德曼猜想从同一文件,并产生一个尖锐的限制组作用$k$ -acylindrically。

英文摘要:

In a pervious paper Weidmann shows that there a bound on the number of orbits of edges in a tree on which a finitely generated group acts $(k,C)$-acylindrically. In this paper we extend this result to actions which are $k$-acylindrical except on a family of groups with "finite height". We also give an example which gives a negative result to a conjecture of Weidmann from the same paper and produce a sharp bound for groups acting $k$--acylindrically.

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。

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