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math.GR2017★ 2 cited
The free group on n generators modulo n+u random relations as n goes to infinity
Yuan Liu, Melanie Matchett Wood
We show that, as n goes to infinity, the free group on n generators, modulo n+u random relations, converges to a random group that we give explicitly. This random group is a non-ab…
math.NT2017
The Realizability Problem with Inertia Conditions
Yuan Liu
In this paper, we consider the inverse Galois problem with described inertia behavior. For a finite group , one of its subgroups and a prime integer , we ask whether or n…