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The Automorphism Group of the 26-Dimensional Lorentzian Lattice

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Sphere Packings, Lattices and Groups

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 290))

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Abstract

The automorphism group of the lattice II25,1 is shown to be a certain infinitely generated Coxeter group extended by the negative of the identity operation and the group of all automorphisms of the Leech lattice.

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© 1988 Springer Science+Business Media New York

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Conway, J.H. (1988). The Automorphism Group of the 26-Dimensional Lorentzian Lattice. In: Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, vol 290. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2016-7_27

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  • DOI: https://doi.org/10.1007/978-1-4757-2016-7_27

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-2018-1

  • Online ISBN: 978-1-4757-2016-7

  • eBook Packages: Springer Book Archive

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