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Solution to a problem of A. D. Sands

Published online by Cambridge University Press:  18 May 2009

Owen H. Fraser  and
Basil Gordon
Owen H. Fraser
Affiliation:
Los Angeles Valley College, University of California, Los Angeles
Basil Gordon
Affiliation:
Los Angeles Valley College, University of California, Los Angeles
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Let G be a finite additive abelian group, and suppose that A and B are subsets of G. We say that G = A⊕B if every element g ∈ G can be uniquely written in the form g = a + b, where a ∈ A, b ∈ B. The study of such decompositions (usually called factorizations in the literature) was initiated by G. Hájos [3] in connection with his solution to a problem of Minkowski in the geometry of numbers.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 20 , Issue 2 , July 1979 , pp. 115 - 117
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

REFERENCES

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