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Summary:
The Leech Lattice and Complex Hyperbolic Reflections
Daniel Allcock
19 November 1997
allcock@math.utah.edu
web page: http://www.math.utah.edu/~allcock
Department of Mathematics
University of Utah
Salt Lake City, UT 84112.
Abstract.
We construct a natural sequence of finite-covolume reflection groups acting on *
*the complex hy-
perbolic spaces CH13, CH9 and CH5, and show that the 9-dimensional example coin*
*cides with
the largest of the groups of Mostow [10]. These reflection groups arise as auto*
*morphism groups
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