| Автор | Huck, Günther |
| Автор | Rosebrock, Stephan |
| Дата выпуска | 1993 |
| dc.description | The idea of applying isoperimetric functions to group theory is due to M. Gromov [8]. We introduce the concept of a “bicombing of narrow shape” which generalizes the usual notion of bicombing as defined for example in [5], [2], and [10]. Our bicombing is related to but different from the combings defined by M. Bridson [4]. If they Cayley graph of a group with respect to a given set of generators admits a bicombing of narrow shape then the group is finitely presented and satisfies a sub-exponential isoperimetric inequality, as well as a polynomial isodiametric inequality. We give an infinite class of examples which are not bicombable in the usual sense but admit bicombings of narrow shape. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Edinburgh Mathematical Society 1993 |
| Название | A bicombing that implies a sub-exponential isoperimetric inequality |
| Тип | research-article |
| DOI | 10.1017/S0013091500018587 |
| Electronic ISSN | 1464-3839 |
| Print ISSN | 0013-0915 |
| Журнал | Proceedings of the Edinburgh Mathematical Society |
| Том | 36 |
| Первая страница | 515 |
| Последняя страница | 523 |
| Аффилиация | Huck Günther; J.-W.-Goethe Universität |
| Аффилиация | Rosebrock Stephan; Northern Arizona University |
| Выпуск | 3 |
