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Symmetric Groups and Lattices

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This paper deals with various problems in lattice theory involving local extrema. In particular, we construct infinite series of highly symmetric spherical 3-designs which include some of the examples constructed in [9] in dimensions 5 and 7. We also construct new types of dual-extreme lattices.

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Received June 29, 2002; in final form January 14, 2003 Published online May 16, 2003

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Bergé, AM., Martinet, J. Symmetric Groups and Lattices. Monatsh. Math. 140, 179–195 (2003). https://doi.org/10.1007/s00605-003-0548-x

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  • DOI: https://doi.org/10.1007/s00605-003-0548-x

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