Equivalence classes of minimal zero-sequences modulo a prime (Q2741191)
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scientific article; zbMATH DE number 1642437
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalence classes of minimal zero-sequences modulo a prime |
scientific article; zbMATH DE number 1642437 |
Statements
21 February 2002
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subsequence sums
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finite Abelian groups
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minimal zero-sequences
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automorphisms
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Equivalence classes of minimal zero-sequences modulo a prime (English)
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Let \(G\) be a finite Abelian group and let \({\mathcal U}(G)\) be the set of minimal zero-sequences of \(G\). If \(M_1\) and \(M_2\) are in \({\mathcal U}(G)\), then \(M_1\equiv M_2\) if there is an automorhism \(\phi\) of \(G\) such that \(M_2=\phi(M_1)\). The authors investigate this equivalence relation in the case \(G=\mathbb{Z}_p\). They obtain several arithmetic applications.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00058].
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