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math.GR2005
The unbounded dead-end depth property is not a group invariant
Tim R. Riley, Andrew D. Warshall
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 associate…
math.GR2005★ 2 cited
Diameters of Cayley graphs of SL_n(Z/kZ)
M. Kassabov, T. R. Riley
We show that for integers k > 1 and n > 2, the diameter of the Cayley graph of SL_n(Z/kZ) associated to a standard two-element generating set, is at most a constant times n^2 ln k.…