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arXiv · 1505.06420

The 290 fixed-point sublattices of the Leech lattice

Gerald Hoehn·Geoffrey Mason
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Abstract

We determine the orbits of fixed-point sublattices of the Leech lattice with respect to the action of the Conway group Co_0. There are 290 such orbits. Detailed information about these lattices, the corresponding coinvariant lattices, and the stabilizing subgroups, is tabulated in several tables.

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Gerald Hoehn, Geoffrey Mason. 2016-01-13. The 290 fixed-point sublattices of the Leech lattice. https://doi.org/10.1016/j.jalgebra.2015.08.028

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