A remark on the Brauer-Fowler theorems (Q2031455)
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scientific article; zbMATH DE number 7357039
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the Brauer-Fowler theorems |
scientific article; zbMATH DE number 7357039 |
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A remark on the Brauer-Fowler theorems (English)
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9 June 2021
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The main result of the article is the following theorem that is proven using only elementary methods. Let \(G\) be a group of even order and assume that \(G\) does not have 2-rank 1. Then \(|G |<|C_G(t)|^6\) for some involution \(t\in G\).
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Brauer-Fowler theorem
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involution
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finite groups of even order
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