Daniel Allcock

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We provide an algorithm for determining whether two vectors in the Leech lattice are equivalent under its isometry group, the Conway group Co 0 of order ∼ 8 × 10 18. Our methods rely on and develop the work of R. T. Curtis, and we describe our intended applications to the symmetry groups of Lorentzian lattices and the enumeration of lattices of dimension ≈(More)
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