English

On two classes of dense 2-generator subgroups in $\mathbb C$

Dynamical Systems 2014-10-23 v2 Geometric Topology

Abstract

We consider dense 2-generator multiplicative subgroups in C\mathbb C and show that for each point zCz\in \mathbb C the set of limit values for the arguments of the powers of each generator at the point zz is either finite or is [π,π][-\pi,\pi]

Keywords

Cite

@article{arxiv.1409.0230,
  title  = {On two classes of dense 2-generator subgroups in $\mathbb C$},
  author = {Kirill Kamalutdinov and Andrey Tetenov and Dmitry Vaulin},
  journal= {arXiv preprint arXiv:1409.0230},
  year   = {2014}
}

Comments

7 pages

R2 v1 2026-06-22T05:44:59.985Z