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It is proved that if a finite abelian group is factored into a direct product of lacunary cyclic subsets, then at least one of the factors must be periodic. This result generalizes Hajós's factorization theorem.

A Hajós-type result on factoring finite Abelian groups by subsets.

Corrádi, Keresztély, Szabó, Sándor (1994)

Mathematica Pannonica

A large dihedral symmetry of the set of alternating sign matrices.

Wieland, Benjamin (2000)

The Electronic Journal of Combinatorics [electronic only]

A literature review on circle and sphere packing problems: models and methodologies.

Hifi, Mhand, M'hallah, Rym (2009)

Advances in Operations Research

A lower bound on packing density.

J.A. Rush (1989)

Inventiones mathematicae

A Markoff-Type Chain for the View-Obstruction Problem for Spheres in R4.

V.C. Dumir, R.J. Hans-Gills (1994)

Monatshefte für Mathematik

A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary

Werner Georg Nowak (2007)

Acta Arithmetica

A modification of Graham's algorithm for determining the convex hull of a finite planar set.

An, Phan Thanh (2007)

Annales Mathematicae et Informaticae

A New Bound on the Local Density of Sphere Packings.

D.J. Muder (1993)

Discrete & computational geometry

A new class of stuck unknots in ${Pol}_{6}$ .

Toussaint, Godfried (2001)

Beiträge zur Algebra und Geometrie

A new sphere packing in 20 dimensions.

Alexander Vardy (1995)

Inventiones mathematicae

A normed space with the Beckman-Quarles property.

Ling, Joseph M. (2007)

Beiträge zur Algebra und Geometrie

A note about Bezdek's conjecture on covering an annulus by strips.

Zhang, Yuqin, Ding, Ren (2008)

The Electronic Journal of Combinatorics [electronic only]

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