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Article - preprint


Mathematics (CMC), Mathematics (Pomona)

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We consider lattices generated by finite Abelian groups. The main result says that such a lattice is strongly eutactic, which means the normalized minimal vectors of the lattice form a spherical 2-design, if and only if the group is of odd order or if it is a power of the group of order 2. This result also yields a criterion for the appropriately normalized minimal vectors to constitute a uniform normalized tight frame.

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© 2015 Böttcher, Fukshansky, Garcia, Maharaj

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