# The covolume of quaternion groups on the four-dimensional hyperbolic space

Stefan Breulmann; Volker Helmke

Acta Arithmetica (1996)

- Volume: 77, Issue: 1, page 9-21
- ISSN: 0065-1036

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topStefan Breulmann, and Volker Helmke. "The covolume of quaternion groups on the four-dimensional hyperbolic space." Acta Arithmetica 77.1 (1996): 9-21. <http://eudml.org/doc/206911>.

@article{StefanBreulmann1996,

author = {Stefan Breulmann, Volker Helmke},

journal = {Acta Arithmetica},

keywords = {discontinuous groups; volume of fundamental domain; quaternion groups; hyperbolic four-space; linear-fractional transformation; finite covolume; Maaß-Selberg relations; Stokes' theorem; Fourier expansion of Eisenstein series},

language = {eng},

number = {1},

pages = {9-21},

title = {The covolume of quaternion groups on the four-dimensional hyperbolic space},

url = {http://eudml.org/doc/206911},

volume = {77},

year = {1996},

}

TY - JOUR

AU - Stefan Breulmann

AU - Volker Helmke

TI - The covolume of quaternion groups on the four-dimensional hyperbolic space

JO - Acta Arithmetica

PY - 1996

VL - 77

IS - 1

SP - 9

EP - 21

LA - eng

KW - discontinuous groups; volume of fundamental domain; quaternion groups; hyperbolic four-space; linear-fractional transformation; finite covolume; Maaß-Selberg relations; Stokes' theorem; Fourier expansion of Eisenstein series

UR - http://eudml.org/doc/206911

ER -

## References

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- [Sa] P. Sarnak, The arithmetic and geometry of some hyperbolic three manifolds, Acta Math. 151 (1983), 253-295. Zbl0527.10022
- [Wi] N. J. Wielenberg, Discrete Moebius groups: Fundamental polyhedra and convergence, Amer. J. Math. 99 (1977), 861-877. Zbl0373.57024
- [Za] D. B. Zagier, Modular forms whose Fourier coefficients involve zeta functions of quadratic fields, in: Lecture Notes in Math. 627, Springer, Berlin, 1977, 105-169.

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