有限指数子半群的端
群论
2013-11-12 v2
摘要
本文研究有限生成半群的端。我们所研究的端是有限生成半群 Cayley 图的无向图的端。我们证明了对于有限 Rees 指数的子半群，端的数量保持不变，并证明了对于消去半群的有限 Green 指数子半群，同样的结论也成立。
引用
@article{arxiv.1302.3500,
title = {Ends for subsemigroups of finite index},
author = {Vesna Kilibarda and Victor Maltcev and Simon Craik},
journal= {arXiv preprint arXiv:1302.3500},
year = {2013}
}
备注
This paper though correct shows that ends of semigroups in fact is not so natural to study -- nothing crucial like analogue of Stallings theorem perhaps would exist etc