English

Reflective anisotropic hyperbolic lattices of rank $4$

Algebraic Geometry 2017-06-07 v1 Group Theory Geometric Topology Number Theory

Abstract

A hyperbolic lattice is called \textit{1.21.2-reflective} if the subgroup of its automorphism group generated by all 11- and 22-reflections is of finite index. The main result of this article is a complete classification of 1.21.2-reflective maximal anisotropic lattices of rank 44.

Keywords

Cite

@article{arxiv.1610.06148,
  title  = {Reflective anisotropic hyperbolic lattices of rank $4$},
  author = {Nikolay V. Bogachev},
  journal= {arXiv preprint arXiv:1610.06148},
  year   = {2017}
}

Comments

22 pages, 2 figures