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Difference between revisions of "Sylow p-subgroup"

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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]]
 
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* [[p-group |<math>p</math>-group]]
 
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[[Category:Group theory]]
 

Latest revision as of 17:17, 4 July 2024

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