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The size of a hyperbolic Coxeter simplex

Transformation Groups volume 4, pages 329–353 (1999)Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Wheaton College, 02766, Norton, MA, USA

    N. W. Johnson

  2. Mathematisches Institut, Universität Göttingen, 37073, Göttingen, Germany

    R. Kellerhals

  3. Department of Mathematics, Vanderbilt University, 37240, Nashville, TN, USA

    J. G. Ratcliffe & S. T. Tschantz

Authors
  1. N. W. Johnson
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  2. R. Kellerhals
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  3. J. G. Ratcliffe
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  4. S. T. Tschantz
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Johnson, N.W., Kellerhals, R., Ratcliffe, J.G. et al. The size of a hyperbolic Coxeter simplex. Transformation Groups 4, 329–353 (1999). https://doi.org/10.1007/BF01238563

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