论文标题
局部pro-P收缩组是nilpotent
Locally pro-p contraction groups are nilpotent
论文作者
论文摘要
作者先前已经表明，每个局部pro-P收缩组分解为P-ADIC分析因子和扭转因子的直接产物。长期以来，众所周知，P-ADIC分析收缩组是nilpotent。我们在这里表明扭转因子也是nilpotent的，因此每个局部pro-P收缩组都是nilpotent。
The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been known that p-adic analytic contraction groups are nilpotent. We show here that the torsion factor is nilpotent too, and hence that every locally pro-p contraction group is nilpotent.
