A Variation on the Unique Product Property |
| |
| Authors: | Bowditch B. H. |
| |
| Affiliation: | Faculty of Mathematical Studies, University of Southampton Highfield, Southampton SO17 1BJ, bhb{at}maths.soton.ac.uk |
| |
| Abstract: | A variation on the unique product property of groups is describedwhich seems natural from a geometric point of view. It is strongerthan the unique product property, and hence implies, for example,that the group rings have no zero divisors. Some of its closureproperties are described. It is shown that most surface groupssatisfy this condition, and various other examples are given.It is explained how these ideas can give a more geometric interpretationof Promislow's example of a non-unique-product group. |
| |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ |
|
