A combinatorial interpretation of the probabilities of \(p\)-groups in the Cohen-Lenstra measure (Q958711)
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scientific article; zbMATH DE number 5379235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A combinatorial interpretation of the probabilities of \(p\)-groups in the Cohen-Lenstra measure |
scientific article; zbMATH DE number 5379235 |
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A combinatorial interpretation of the probabilities of \(p\)-groups in the Cohen-Lenstra measure (English)
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8 December 2008
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This paper deals with a connection between the volume of a finite abelian \(p\)-group in the Cohen-Lenstra measure and partitions of a certain type. A nice formula for the probability of a \(p\)-group to have a specific exponent is also infered.
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Cohen-Lenstra measure
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partition
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p-group
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exponent
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