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Jul 10, 2018 at 10:00 comment added Yiftach Barnea thanks, I was not aware of this definition.
Jul 10, 2018 at 9:12 comment added M. Farrokhi D. G. @YiftachBarnea The width of a group $G$ with respect to a generating set $S$ is the same as the diameter of Cayley graph $\mathrm{Cay}(G,S)$, that is the smallest positive integer $k$ such that every element of $G$ is the product of at most $k$ elements of $S$.
Jul 10, 2018 at 9:07 comment added Yiftach Barnea I don't think this is width, as far as I remember, width is for specific word. I think it is the diameter of the Cayley graph,
Jul 10, 2018 at 8:55 history edited M. Farrokhi D. G. CC BY-SA 4.0
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Jul 10, 2018 at 7:33 history edited M. Farrokhi D. G. CC BY-SA 4.0
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Jul 10, 2018 at 7:27 history answered M. Farrokhi D. G. CC BY-SA 4.0