On computing the number of subgroups of a finite Abelian group (Q1204520)
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scientific article; zbMATH DE number 130613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On computing the number of subgroups of a finite Abelian group |
scientific article; zbMATH DE number 130613 |
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On computing the number of subgroups of a finite Abelian group (English)
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10 March 1993
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Let \(N_ A(r)\) denote the number of subgroups of order \(p^ r\) of \(A\), where \(A\) is a finite Abelian \(p\)-group of a fixed type. The paper derives a recurrence relation for \(N_ A(r)\) and verifies a conjecture of P. E. Dyubyuk about congruences between \(N_ A(r)\) and Gaussian binomial coefficients.
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Ferrer diagram
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congruences
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Gaussian binomial coefficient
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