Kellerhals, Ruth 2017-08-22 We study lattices with a non-compact fundamental domain of small volume in hyperbolic space H n . First, we identify the arithmetic lattices in Isom + H n of minimal covolume for even n up to 18. Then, we discuss the related problem in higher odd dimensions and provide solutions for n = 11 and n = 13 in terms of the rotation subgroup of certain Coxeter pyramid groups found by Tumarkin. The results depend on the work of Belolipetsky and Emery, as well as on the Euler characteristic computation for hyperbolic Coxeter polyhedra with few facets by means of the program CoxIter developed by Guglielmetti. This work complements the survey about hyperbolic orbifolds of minimal volume. application/pdf https://folia.unifr.ch/global/documents/306158 https://folia.unifr.ch/documents/306158/files/kel_mch.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.3390/math5030043 info:eu-repo/semantics/openAccess License undefined Mathematics. - 2017, vol. 5, no. 3, p. 43 Hyperbolic lattice Cusp Minimal volume Arithmetic group Coxeter polyhedron info:eu-repo/classification/udc/51 On minimal covolume hyperbolic lattices http://purl.org/coar/resource_type/c_6501