Finitely presentable, non-Hopfian groups with Kazhdan's Property (T) and infinite outer automorphism group
群论
2013-01-01 v4
摘要
We give simple examples of Kazhdan groups with infinite outer automorphism groups. This answers a question of Paulin, independently answered by Ollivier and Wise by completely different methods. As arithmetic lattices in (non-semisimple) Lie groups, our examples are in addition finitely presented. We also use results of Abels about compact presentability of p-adic groups to exhibit a finitely presented non-Hopfian Kazhdan group. This answers a question of Ollivier and Wise.
引用
@article{arxiv.math/0502140,
title = {Finitely presentable, non-Hopfian groups with Kazhdan's Property (T) and infinite outer automorphism group},
author = {Yves de Cornulier},
journal= {arXiv preprint arXiv:math/0502140},
year = {2013}
}
备注
9 pages, no figure. v4: statement of Theorem 3.1 corrected