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math.GR2010
Asymptotic invariants, complexity of groups and related problems
Mark Sapir
We survey results about computational complexity of the word problem in groups, Dehn functions of groups and related problems.
math.GR2010
Universal tree-graded spaces and asymptotic cones
Denis Osin, Mark Sapir
We define and give explicit construction of the universal tree-graded space with a given collection of pieces. We apply that to proving uniqueness of asymptotic cones of relatively…