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Coxeter Groups and Hyperbolic Manifolds

Research group:
Algebra | Pure Mathematics
TitleCoxeter Groups and Hyperbolic Manifolds
Publication TypeJournal Article
Year of Publication2004
AuthorsEveritt B
JournalMathematische Annalen
Volume330
Issue1
Pagination127-150
AbstractThe theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperbolic manifolds. Combinatorial properties of finite images of these groups can be used to compute the volumes of the resulting manifolds. Three examples, in 4,5 and 6-dimensions, are given, each of very small volume, and in one case of smallest possible volume.
URLhttp://dx.doi.org/10.1007/s00208-004-0543-0
DOI10.1007/s00208-004-0543-0
E-print numberarXiv:math.GT/0205157

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Edited 18 Oct 2009 - 19:07 by bje1

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