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The unbounded dead-end depth property is not a group invariant | | Tim R. Riley
; Andrew D. Warshall
; | | Date: |
7 Apr 2005 | | Subject: | Group Theory MSC-class: 20F65 | math.GR | | Abstract: | The dead-end depth of an element g of a group with finite generating set A is the distance from g to the complement of the radius d(1,g) closed ball, in the word metric d associated to A. We exhibit a finitely presented group K with two finite generating sets A and B such that dead-end depth is unbounded on K with respect to A but is at most two with respect to B. | | Source: | arXiv, math.GR/0504121 | | Services: | Forum | Review | PDF | Favorites | |
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