度量小消去无挠群中的交换子不能是真幂
群论
2013-09-16 v3
摘要
在满足具有足够小 \lambda 的 C'(\lambda) 小消去条件的无挠群中，非平凡交换子不能是真幂。
引用
@article{arxiv.1210.7908,
title = {Commutators cannot be proper powers in metric small-cancellation torsion-free groups},
author = {Elizaveta Frenkel and Anton A. Klyachko},
journal= {arXiv preprint arXiv:1210.7908},
year = {2013}
}
备注
14 pages, 13 figures. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm . V2: a minor correction of the proof of Lemma 3 made and an acknowledgement added. V3: minor corrections in Lemma 2 and the far-from-junction-collision lemma