Recognition of the linear groups over the binary field by the set of their element orders. (Q949113)
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scientific article; zbMATH DE number 5354276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recognition of the linear groups over the binary field by the set of their element orders. |
scientific article; zbMATH DE number 5354276 |
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Recognition of the linear groups over the binary field by the set of their element orders. (English)
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20 October 2008
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This paper adds to a series of papers dealing with the question if a simple group is determined by the orders of its elements. In this papers the author consider \(\text{PSL}_{14}(2)\). The methods of the proof in all such papers are basically the same. As the order graph is not connected the Kegel-Gruenberg Theorem applies and then using the classification of the finite simple groups it is just a case by case investigation.
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finite simple groups
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sets of element orders
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order graphs
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Kegel-Gruenberg theorem
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recognizable groups
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