Corpus ID: 119617985

Effective quasimorphisms on free chains

  title={Effective quasimorphisms on free chains},
  author={J. Tao},
  journal={arXiv: Group Theory},
  • J. Tao
  • Published 2016
  • Mathematics
  • arXiv: Group Theory
  • We find homogeneous counting quasimorphisms that are effective at seeing chains in a free group F. As corollary, we derive that if a groupG has an index–d free subgroup, then every element g ∈G either has stable commutator length at least 1/8d or some power of g is conjugate to its inverse. We also show that for a finitely-generated free group F, there is a countable basis for the real vector space of homogeneous quasimorphisms on F. 
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