Carter subgroups of singular pseudo-symplectic groups (Q2725258)
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scientific article; zbMATH DE number 1619044
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Carter subgroups of singular pseudo-symplectic groups |
scientific article; zbMATH DE number 1619044 |
Statements
14 January 2002
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singular pseudo-symplectic groups
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Carter subgroups
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self-normalizing nilpotent subgroups
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Sylow subgroups
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Carter subgroups of singular pseudo-symplectic groups (English)
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A subgroup of a group is called a Carter subgroup if it is a self-normalizing nilpotent subgroup. The authors investigate the existence of Carter subgroups for the singular pseudo-symplectic group over a finite field \(F_q\) of characteristic 2. It is shown that if \(q>2\), then no Carter subgroups exist; and if \(q=2\), then the normalizers of Sylow 2-subgroups are Carter subgroups.
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