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math.GR2003
The palindromic width of a free product of groups
Valery Bardakov, Vladimir Tolstykh
Palindromes are those reduced words of free products of groups that coincide with their reverse words. We prove that a free product of groups has infinite palindromic width, pr…
math.GR2003
On the palindromic and primitive widths of a free group
Valery Bardakov, Vladimir Shpilrain, Vladimir Tolstykh
Let G be a group and S a subset of G that generates G. For each x in G define the length l_S(x) of x relative to S to be the minimal k such that x is a product of k elements of S.…