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The complexity of some classical algorithmic problems in free groups is studied. An nhomomorphism f is called an nepimorphism if f is surjective. Problems like the generalized word problem, to determine shortest coset representatives, to decide whether two subgroups are equal or isomorphic, to decide whether a set of generators is independent or to decide whether a subgroup has finite index, are known to be decidable for free groups. Amazing collection of free pc games to download and play.
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