Difference between revisions of "Sylow p-subgroup"
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| − | + | {{title restriction|Sylow <math>p</math>-subgroup|romanized}} | |
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| + | A '''Sylow <math>\boldsymbol{p}</math>-subgroup''' is a particular type of [[p-group |<math>p</math>]]-[[subgroup]] of a [[finite]] [[group]]. Specifically, if <math>G</math> is a finite group, then a subgroup <math>P</math> is a Sylow <math>p</math>-subgroup of <math>G</math> if <math>P</math> is a <math>p</math>-group, and <math>p</math> does not divide the index of <math>G</math>. | ||
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| + | == See also == | ||
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| + | * [[Sylow Theorems]] | ||
| + | * [[p-group |<math>p</math>-group]] | ||
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| + | [[Category:Group theory]] | ||
Latest revision as of 20:03, 2 February 2025
- The title of this article has been romanized due to technical restrictions. The correct title should be Sylow
-subgroup.
A Sylow 
-subgroup is a particular type of 
-subgroup of a finite group. Specifically, if 
is a finite group, then a subgroup 
is a Sylow -subgroup of if is a -group, and does not divide the index of .
