English

On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of N_4

Dynamical Systems 2016-08-03 v2 Group Theory

Abstract

We determine the largest {\alpha} for which the nilpotent group of 4-by-4 triangular matrices with integer coefficients and 1 in the diagonal embeds into the group of C1+{\alpha} diffeomorphism of the closed interval.

Keywords

Cite

@article{arxiv.1503.01033,
  title  = {On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of N_4},
  author = {E. Jorquera and A. Navas and C. Rivas},
  journal= {arXiv preprint arXiv:1503.01033},
  year   = {2016}
}

Comments

18 pages