Transformation Groups

, Volume 4, Issue 4, pp 329–353

The size of a hyperbolic Coxeter simplex

  • N. W. Johnson
  • R. Kellerhals
  • J. G. Ratcliffe
  • S. T. Tschantz
Article

DOI: 10.1007/BF01238563

Cite this article as:
Johnson, N.W., Kellerhals, R., Ratcliffe, J.G. et al. Transformation Groups (1999) 4: 329. doi:10.1007/BF01238563

Abstract

We determine the covolumes of all hyperbolic Coxeter simplex reflection groups. These groups exist up to dimension 9. the volume computations involve several different methods according to the parity of dimension, subgroup relations and arithmeticity properties.

Copyright information

© Birkhäuser Boston 1999

Authors and Affiliations

  • N. W. Johnson
    • 1
  • R. Kellerhals
    • 2
  • J. G. Ratcliffe
    • 3
  • S. T. Tschantz
    • 3
  1. 1.Department of Mathematics and Computer ScienceWheaton CollegeNortonUSA
  2. 2.Mathematisches InstitutUniversität GöttingenGöttingenGermany
  3. 3.Department of MathematicsVanderbilt UniversityNashvilleUSA