Normal structure of Sylow p-subgroups of the restricted linear group (Q753960)
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scientific article; zbMATH DE number 4181646
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal structure of Sylow p-subgroups of the restricted linear group |
scientific article; zbMATH DE number 4181646 |
Statements
Normal structure of Sylow p-subgroups of the restricted linear group (English)
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1989
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Let V be a vector space over a finite field F. Assume V has a countable basis \(\{x_ i\}\). Put \(V_ n=<x_ 1,...,x_ n>\). Let P be the union of Sylow p-subgroups \(P_ i\) in \(GL(V_ i)\) such that \(P_ i\subset P_{i+1}\). The author determines all elements in P whose normal closure in P is Abelian.
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general linear group
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vector space
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finite field
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Sylow p-subgroups
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normal closure
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