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Splittings of Abelian groups by integers. (English) Zbl 0526.20018


MSC:

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

[1] Birkhoff, G. D. andVandiver, H.,On the integral divisors of a n n . Ann. of Math.5 (1903–04), 173–180. · JFM 35.0205.01 · doi:10.2307/2007263
[2] Carlitz, L. andMoser, L.,On some special factorizations of (1 n )/(1 ). Canad. Math. Bull.9 (1966), 421–426. · Zbl 0145.04804 · doi:10.4153/CMB-1966-050-1
[3] Hamaker, W.,Factoring group and tiling space. Aequationes Math.9 (1973), 145–149. · Zbl 0288.20072 · doi:10.1007/BF01832620
[4] Hamaker, W. andStein, S.,Splitting groups by integers. Proc. Amer. Math. Soc.46 (1974), 322–324. · Zbl 0288.20069
[5] Mills, W. H.,Characters with preassigned values. Canad. J. Math.15 (1963), 169–171. · Zbl 0125.02308 · doi:10.4153/CJM-1963-019-3
[6] Sands, A.,On the factorization of finite albelian groups. Acta Math. Acad. Sci. Hungar.8 (1957), 65–86. · Zbl 0079.03303 · doi:10.1007/BF02025232
[7] Stein, S.,Algebraic tiling. Amer. Math. Monthly81 (1974), 445–462. · Zbl 0284.20048 · doi:10.2307/2318582
[8] Stein, S.,Factoring by subsets, Pacific J. Math.22 (1967), 523–541. · Zbl 0149.26501
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.