Some problems in number theory that arise from group theory (Q1021037)
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scientific article; zbMATH DE number 5562420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some problems in number theory that arise from group theory |
scientific article; zbMATH DE number 5562420 |
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Some problems in number theory that arise from group theory (English)
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5 June 2009
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This is a survey paper on group-theoretic problems which arise in number theory. In particular, the problems are on arithmetical functions and partitions. One of the more palatable open conjectures is that for primes \(p\neq q\), \((q^q-1)/(p-1)\) never divides \((q^p-1)/(q-1)\) to which an affirmative answer would simplify the proof of Feit and Thompson on the solvability of odd order groups.
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partition
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symmetric groups
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character degree
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irreducible character
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arithmetical function
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