A proof that Thompson's groups have infinitely many relative ends
A proof that Thompson's groups have infinitely many relative ends
复制标题
证明汤普森的群有无限多个相对目的
DOI：
10.1515/jgt.2010.068
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Daniel S. Farley
中科院分区：
文献类型：
--
作者：
Daniel S. Farley
Thompson群F、T和V中的每一个相对于群F [0，1/2]、T [0，1/2]和V [0，1/2）（分别）有无穷多个端点。因此，我们可以简化纳皮耶和拉玛钱德朗关于F、T和V不是凯勒群的证明。Thompson的群T和V具有Serre的性质FA。这一事实的最初证明是由于肯布朗。
Abstract Each of Thompson's groups F, T, and V has infinitely many ends relative to the groups F [0, 1/2], T [0, 1/2], and V [0, 1/2) (respectively). We can therefore simplify the proof, due to Napier and Ramachandran, that F, T, and V are not Kähler groups. Thompson's groups T and V have Serre's property FA. The original proof of this fact was due to Ken Brown.