English

On two-generator subgroups in SL_2(Z), SL_2(Q), and SL_2(R)

Group Theory 2017-02-07 v4

Abstract

We consider what some authors call 'parabolic M\"obius subgroups' of matrices over Z, Q, and R and focus on the membership problem in these subgroups and complexity of relevant algorithms.

Keywords

Cite

@article{arxiv.1605.05226,
  title  = {On two-generator subgroups in SL_2(Z), SL_2(Q), and SL_2(R)},
  author = {Anastasiia Chorna and Katherine Geller and Vladimir Shpilrain},
  journal= {arXiv preprint arXiv:1605.05226},
  year   = {2017}
}

Comments

14 pages