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Showing 2011 · math.GRShow all
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math.GR2011
Linear estimates for solutions of quadratic equations in free groups
Olga Kharlampovich, Alina Vdovina
We prove that in a free group the length of the value of each variable in a minimal solution of a standard quadratic equation is bounded by for orientable equation and by $12s…
math.GR2011★ 7 cited
Infinite words and universal free actions
Olga Kharlampovich, Alexei Myasnikov, Denis Serbin
This is the second paper in a series of three, where we take on the unified theory of non-Archimedean group actions, length functions and infinite words. Here, for an arbitrary gro…
math.GR2011★ 4 cited
-free groups are CAT(0)
Inna Bumagin, Olga Kharlampovich
We show that every group with free -length function is CAT(0).