
The unbounded dead end depth property is not a group invariant
Tim Riley and Andrew Warshall Int. J. Alg. Comp., 16(5), pages 969–984, 2006 The deadend 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. We exhibit a finitely presented group K with two finite generating sets A and B such that deadend depth is unbounded on K with respect to A but is at most three with respect to B. 14 pages, 5 figures.
