Existence of a nonarithmetic lattice in SU(2,1)

AUTOR(ES)

Mostow, G. D.

RESUMO

The proof of the well-known conjecture that lattices in groups of R-rank greater than 1 are arithmetic has raised speculation about the existence of nonarithmetic lattices in the R-rank 1 group SU(n,1), n > 1. This paper presents an example of such a lattice Γ1. Γ1 consists of the intersection with SU(2,1) of a group Γ generated by three complex reflections of order 5. The quotient SU(2,1)/Γ1 is compact.

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