Splittings of Abelian groups by integers

DOI10.1007/BF02190183zbMath0526.20018MaRDI QIDQ5893849

Sherman Stein, Steven Galovich

Publication date: 1981

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136877

zbMATH Keywords

finite abelian groupsplitting p-groupstilings of Euclidean n-space

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Sequences and sets (11B99)

Related Items (11)

Some problems on splittings of groups ⋮ Splitting groups of prime order ⋮ Nonequivalent splittings of Abelian groups ⋮ Covering Abelian groups with cyclic subsets ⋮ Coloring the \(n\)-smooth numbers with \(n\) colors ⋮ Abelian groups ⋮ A bound of k for tiling by (k,n) crosses and semi-crosses ⋮ A Reduction Theorem on Purely Singular Splittings of Cyclic Groups ⋮ On the existence of perfect splitter sets ⋮ Cyclotomic conditions leading to new Steiner 2-designs ⋮ Constructing 𝑘-radius sequences

Cites Work

• Factoring groups and tiling space
• Factoring by subsets
• On the factorisation of finite abelian groups
• Algebraic Tiling
• Splitting Groups by Integers
• Characters With Preassigned Values
• On Some Special Factorizations of (1-xⁿ)/(1-x)

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