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New complex and quaternion-hyperbolic reflection groups Daniel Allcock*
 

Summary: 
New complex and quaternion-hyperbolic reflection groups

Daniel Allcock*
9 September 1997

allcock@math.utah.edu
web page: http://www.math.utah.edu/~allcock
Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA

1991 mathematics subject classification: 22E40 (11F06, 11E39, 53C35)

Dedicated to my father John Allcock, 1940-1991

Abstract.
We consider the automorphism groups of various Lorentzian lattices over the E*
*isenstein, Gaussian,
and Hurwitz integers, and in some of them we find reflection groups of finite*
* index. These provide
explicit constructions of new finite-covolume reflection groups acting on com*

  

Source: Allcock, Daniel - Department of Mathematics, University of Texas at Austin

 

Collections: Mathematics