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A note on the growth of Davenport’s constant. (English) Zbl 0759.20009

[For notations and terminology cf. the preceding review Zbl 0759.20008.]
In the present paper, the author proves that, for fixed odd \(k\), \(D(C^ n_ 2\oplus C_ k)-M(C^ n_ 2\oplus C_ k)\to\infty\) for \(n\to \infty\).

MSC:

20D60 Arithmetic and combinatorial problems involving abstract finite groups
20K01 Finite abelian groups
11N45 Asymptotic results on counting functions for algebraic and topological structures
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References:

[1] Baayen, P. C.: (C2222n) is true for odd n. Report ZW-1969-006. Math. Centre Amsterdam
[2] Davenport, H.: Proceedings of the Midwestern Conference on Group theory and Number theory. Ohio State University, April 1966
[3] Emde Boas, P. van.: A combinatorial problem on finite abelian groups II. Report ZW-1969-007. Math. Centre Amsterdam · Zbl 0203.32703
[4] Emde Boas, P. van, Kruyswijk, D.: A combinatorial problem on finite abelian groups III. Report ZW-1969-008. Math. Center Amsterdam · Zbl 0245.20046
[5] Geroldinger, A., Schneider, R.: On Davenport’s constant (to appear) · Zbl 0759.20008
[6] Olson, J. E.: A combinatorial problem on finite abelian groups I and II. J. Number Theory 1 8–11 and 195–199, (1969) · Zbl 0169.02003 · doi:10.1016/0022-314X(69)90021-3
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