Degree graphs of simple groups. (Q734590)
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scientific article; zbMATH DE number 5614529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Degree graphs of simple groups. |
scientific article; zbMATH DE number 5614529 |
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Degree graphs of simple groups. (English)
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13 October 2009
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Let \(G\) be a finite group, and let \(\text{cd}(G)\) be the set of irreducible character degrees of \(G\). The degree graph \(\Delta(G)\) is the graph whose set of vertices is the set of primes that divide degrees in \(\text{cd}(G)\), with an edge between \(p\) and \(q\) if \(pq\) divides \(a\) for some degree \(a\in\text{cd}(G)\). In this paper, the author gives a survey in which the degree graphs for all nonabelian finite simple groups are described.
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finite simple groups
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irreducible characters
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degree graphs
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irreducible character degrees
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