论 Homeo(I) 子群的高度
群论
2014-09-24 v2 动力系统
摘要
在 [Bl1] 中证明了 的子群具有有限高度当且仅当它是可解的。我们证明了对于 Homeo 的任意子群，“仅当”部分成立，并给出了一种构造，表明存在大量具有无限高度的可解群示例。
引用
@article{arxiv.1403.2634,
title = {On the height of subgroups of Homeo(I)},
author = {Azer Akhmedov},
journal= {arXiv preprint arXiv:1403.2634},
year = {2014}
}
备注
More details added in the proof of Theorem 1.7. Several other minor editing made (improving the grammar and the presentation). arXiv admin note: text overlap with arXiv:math/0602036 by other authors