In
mathematics, a
non-Euclidean crystallographic group,
NEC group or
N.E.C. group is a
discrete group of
isometries of the
hyperbolic plane. These
symmetry groups correspond to the
wallpaper groups in
euclidean geometry. A NEC group which contains only
orientation-preserving elements is called a
Fuchsian group.
See also
References
- H.C. Wilkie, On non-Euclidean crystallographic groups,
Mathematische Zeitschrift, Volume 91, April 1966, Pages 87 - 102, ISSN 0025-5874 
- Emilio Bujalance, Automorphism groups of compact planar Klein surfaces,
manuscripta mathematica, Volume 56, March 1986, Pages 105 - 124, ISSN 0025-2611 