# Every p-subgroup is conjugate to a p-subgroup whose normalizer in the Sylow is Sylow in its normalizer

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Revision as of 15:59, 24 March 2008 by Vipul (talk | contribs) (New page: ==Statement== Suppose <math>G</math> is a finite group and <math>S</math> is a <math>p</math>-Sylow subgroup of <math>G</math>. Suppose <math>T</math> is a subgroup contained insi...)

## Statement

Suppose is a finite group and is a -Sylow subgroup of . Suppose is a subgroup contained inside . Then, there exists a subgroup of , such that and are conjugate subgroups inside , and such that is a Sylow subgroup of .