Abstract
The dead-end depth of an element g of a group G, with respect to a generating set A, is the distance from g to the complement of the radius d(A)(1, g) closed ball, in the word metric d(A) defined with respect to A. We exhibit a finitely presented group G with a finite generating set with respect to which there is no upper bound on the dead-end depth of elements.
| Translated title of the contribution | A finitely presented group with unbounded dead-end depth |
|---|---|
| Original language | English |
| Pages (from-to) | 343 - 349 |
| Number of pages | 7 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 134 (2) |
| DOIs | |
| Publication status | Published - Aug 2006 |