AbstractThe notion of a factorization of a group is generalized and a method is presented for obtaining new factorizations from old ones. The results are applied to obtain new fillings of the lattice spaces Z, Z ⊕ Z and the cube
Aperiodic tilings are interesting to mathematicians and scientists for both theoretical and practica...
Abstract. Suppose G is an infinite Abelian group that factorizes as the direct sum G = A⊕B: i.e., th...
AbstractIn the standard Coxeter presentation, the symmetric groupSnis generated by the adjacent tran...
AbstractThe notion of a factorization of a group is generalized and a method is presented for obtain...
AbstractThe notion of a tiling of a set generalizes the notion of a factorization of a group and the...
It is well known that if a finite set $A\subset\mathbb{Z}$ tiles the integers by translations, then ...
We discuss problems of simultaneous tiling. This means that we have an object (set, function) which ...
AbstractIt is shown that any set of three lattice points in n-dimensional Euclidean space Rn tiles t...
We investigate lattice tilings of n-space by (k, n)-crosses, establishing necessary and sufficient c...
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied t...
AbstractStein (1990) discovered (n−1)! lattice tilings of Rn by translates of the notched n-cube whi...
After the discovery of the 219 (230) Euclidean three-dimensional space groups many interesting quest...
The derivation of crystallographic groups in the Euclidean n-space S" (think of n = 2,3) w...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...
Abstract. Let be a group and a symmetric generating set for . In [8], Stallings called a unique f...
Aperiodic tilings are interesting to mathematicians and scientists for both theoretical and practica...
Abstract. Suppose G is an infinite Abelian group that factorizes as the direct sum G = A⊕B: i.e., th...
AbstractIn the standard Coxeter presentation, the symmetric groupSnis generated by the adjacent tran...
AbstractThe notion of a factorization of a group is generalized and a method is presented for obtain...
AbstractThe notion of a tiling of a set generalizes the notion of a factorization of a group and the...
It is well known that if a finite set $A\subset\mathbb{Z}$ tiles the integers by translations, then ...
We discuss problems of simultaneous tiling. This means that we have an object (set, function) which ...
AbstractIt is shown that any set of three lattice points in n-dimensional Euclidean space Rn tiles t...
We investigate lattice tilings of n-space by (k, n)-crosses, establishing necessary and sufficient c...
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied t...
AbstractStein (1990) discovered (n−1)! lattice tilings of Rn by translates of the notched n-cube whi...
After the discovery of the 219 (230) Euclidean three-dimensional space groups many interesting quest...
The derivation of crystallographic groups in the Euclidean n-space S" (think of n = 2,3) w...
AbstractWhen can a given finite region consisting of cells in a regular lattice (triangular, square,...
Abstract. Let be a group and a symmetric generating set for . In [8], Stallings called a unique f...
Aperiodic tilings are interesting to mathematicians and scientists for both theoretical and practica...
Abstract. Suppose G is an infinite Abelian group that factorizes as the direct sum G = A⊕B: i.e., th...
AbstractIn the standard Coxeter presentation, the symmetric groupSnis generated by the adjacent tran...
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