EXPLICIT FREE GROUPS IN DIVISION RINGS

@inproceedings{Gonalves2014EXPLICITFG,
  title={EXPLICIT FREE GROUPS IN DIVISION RINGS},
  author={Jairo Z. Gonçalves and Donald S. Passman},
  year={2014}
}
Let D be a division ring of characteristic 6= 2 and suppose that the multiplicative group D• = D \ {0} has a subgroup G isomorphic to the Heisenberg group. Then we use the generators of G to construct an explicit noncyclic free subgroup of D•. The main difficulty occurs here when D has characteristic 0 and the commutators in G are algebraic over Q. 

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