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>.
 
 
 
== See also ==
 
 
 
* [[Sylow Theorems]]
 
* [[p-group |<math>p</math>-group]]
 
 
 
[[Category:Group theory]]
 

Latest revision as of 16:17, 4 July 2024

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