Coxeter groups, Lorentzian lattices, and K3 surfaces

Abstract

The main result of this paper describes the normalizer of a finite parabolic subgroup of a (possibly infinite) Coxeter group. We use this to compute the automorphism groups of some Lorentzian lattices and K3 surfaces.

16 pages, plain tex. References added, minor errors corrected

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• Normalizers of Parabolic Subgroups of Coxeter Groups