Algebraic Tiling
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Publication:4771439
DOI10.2307/2318582zbMath0284.20048OpenAlexW4251020222MaRDI QIDQ4771439
Publication date: 1974
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2318582
Special aspects of infinite or finite groups (20F99) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)
Related Items (28)
Cube-tilings of \(\mathbb{R}^ n\) and nonlinear codes ⋮ Some problems on splittings of groups ⋮ Splitting groups of prime order ⋮ Semicrosses and quadratic forms ⋮ Some special cases of Keller's conjecture ⋮ A combinatorial approach for Keller's conjecture ⋮ Nonequivalent splittings of Abelian groups ⋮ Packing and Covering by Translates of Certain Nonconvex Bodies ⋮ Covering Abelian groups with cyclic subsets ⋮ Abelian groups that cannot be factored without periodic factor. ⋮ Keller’s cube-tiling conjecture is false in high dimensions ⋮ On rationality of spectrums for spectral sets in \(\mathbb{R} \) ⋮ Multiple factorizations by cyclic subsets ⋮ Cube tiling and covering a complete graph ⋮ Splittings of Abelian groups by integers ⋮ Codes for perfectly correcting errors of limited size ⋮ What is known about unit cubes ⋮ A bound of k for tiling by (k,n) crosses and semi-crosses ⋮ A Reduction Theorem on Purely Singular Splittings of Cyclic Groups ⋮ Multiple tilings of \(n\)-dimensional space by unit cubes ⋮ Tilings with congruent tiles ⋮ On decomposing finite abelian groups ⋮ Multiple tilings by cubes with no shared faces ⋮ Non-integer lattice tilings by (k,n) truncated crosses ⋮ Test case generators and computational results for the maximum clique problem ⋮ A Hajós-Keller type result on factorization of finite cyclic groups ⋮ The maximum clique problem ⋮ Splittings of infinite Abelian groups
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