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Automorphism groups of 24-dimensional even unimodular lattices

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Abstract

A description of the automorphism groups of even positive-definite unimodular 24-dimensional lattices is given.

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Literature cited

  1. B. B. Venkov, “Classification of integral even unimodular quadratic forms in 24 dimensions,” Tr. Mat. Inst. Akad. Nauk SSSR,148, 65–76 (1978).

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  2. J.-P. Serre, A Course in Arithmetic, Springer-Verlag, New York (1973).

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  3. H. V. Niemeier, “Definite quadratische Formen der Dimension 24 und Diskriminante 1,” J. Number Theory,5, No. 2, 142–178 (1973).

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  4. J. H. Conway, “A group of order 8315553613086720000,” Bull. London Math. Soc.,1, 79–88 (1969).

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Authors
  1. V. A. Erokhin
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 116, pp. 68–73, 1982.

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Erokhin, V.A. Automorphism groups of 24-dimensional even unimodular lattices. J Math Sci 26, 1876–1879 (1984). https://doi.org/10.1007/BF01670573

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  • DOI: https://doi.org/10.1007/BF01670573

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