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math.GR2015
Algorithmic aspects of branched coverings I. Van Kampen's Theorem for bisets
Laurent Bartholdi, Dzmitry Dudko
We develop a general theory of "bisets": sets with two commuting group actions. They naturally encode topological correspondences. Just as van Kampen's theorem decomposes into a gr…
math.GR2015
Growth of groups and wreath products
Laurent Bartholdi
These are introductory notes on word growth of groups, and include a gentle presentation of wreath products as well as recent results on construction of groups of with given growth…
math.GR2015
On commutator length in free groups
Laurent Bartholdi, Danil Fialkovski, Sergei O. Ivanov
Let be a free group. We present for arbitrary a LogSpace (and thus polynomial time) algorithm that determines whether a given is a product of at most…