Some geometric groups with rapid decay
群论
2007-05-23 v3 泛函分析
摘要
We explain some simple methods to establish the property of Rapid Decay for a number of groups arising geometrically. We also give new examples of groups with the property of Rapid Decay. In particular we establish the property of Rapid Decay for all lattices in rank one Lie groups.
引用
@article{arxiv.math/0310356,
title = {Some geometric groups with rapid decay},
author = {Indira Chatterji and Kim Ruane},
journal= {arXiv preprint arXiv:math/0310356},
year = {2007}
}
备注
30 pages, 0 figures. There is a change in the content of the paper. The statement of Theorem 0.5 involving cube complexes in the original version fo the paper was incorrect. There is a change in the content of the paper. The proof of Lemma 2.10 needed the use of a result in Drutu-Sapir. This was pointed out to us by D. Groves. The paper has been accepted by GAFA for publication