Factoring a finite Abelian group by prime complexes.
Factoring Abelian groups of order .
Factoring an odd abelian group by lacunary cyclic subsets
It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.
Factoring by nonsubgroup factors.
Factorization results with combinatorial proofs.
Filling a box with translates of two bricks.
Finite and infinite packings.
Finite and Uniform Stability of Sphere Coverings.
Finite Coverings by Translates of Centrally Symmetric Convex Domains.
Finite Sphere Packing and Sphere Covering.
Finite sphere packings and critical radii.
Flexible cross-polytopes in the Euclidean 4-space.
Flight in a Packing of Disks.
Formality of the complements of subspace arrangements with geometric lattices.
Formes quadratiques encapsulées
Four series of hyperbolic space groups with simplicial domains, and their supergroups
Fourier analysis, linear programming, and densities of distance avoiding sets in
We derive new upper bounds for the densities of measurable sets in which avoid a finite set of prescribed distances. The new bounds come from the solution of a linear programming problem. We apply this method to obtain new upper bounds for measurable sets which avoid the unit distance in dimensions . This gives new lower bounds for the measurable chromatic number in dimensions . We apply it to get a short proof of a variant of a recent result of Bukh which in turn generalizes theorems of Furstenberg,...
Fractal Penrose tiles II: Tiles with fractal boundary as duals of Penrose triangles.
Fractal Penrose tilings I. Construction and matching rules.
Free Arrangements and Relation Spaces.