Another proof for the simplicity of \(A_n\) (\(n\geq 5\)) (Q2746548)
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scientific article; zbMATH DE number 1656201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Another proof for the simplicity of \(A_n\) (\(n\geq 5\)) |
scientific article; zbMATH DE number 1656201 |
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1 July 2002
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finite simple groups
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conjugacy classes
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stabilizers
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alternating groups
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0.9324921
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0.85600495
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0.84601164
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0.84179056
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0.8344186
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0.8238865
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Another proof for the simplicity of \(A_n\) (\(n\geq 5\)) (English)
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Let \(A_n\) be the alternating group of degree \(n\) with \(n\geq 5\) and \(L\) the length of the conjugacy class of a non-identity element in \(A_n\). Then \(L\geq n\). The author shows that \(A_n\) is a simple group for all \(n\geq 5\), using the above mentioned result.
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