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2015

The 290 fixed-point sublattices of the Leech lattice

Hoehn, Gerald, Mason, Geoffrey

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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.

The 290 fixed-point sublattices of the Leech lattice · Around

Built on

R. Steinberg,
1964
Earlier work this paper cites.
J. Leech,
1967
Earlier work this paper cites.
J. H. Conway,
1968
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J. H. Conway,
1969
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R. Curtis,
1973
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H.-V. Niemeier,
1973
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V. V. Nikulin,
1979
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J. H. Conway, R. A. Parker, and N. J. A. Sloane,
1982
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J. H. Conway,
1983
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R. E. Borcherds,
1985
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J. H. Conway
1985
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R. E. Borcherds,
1986
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