Difference between revisions of "Sylow p-subgroup"

Latest revision as of 12:02, 25 February 2025

The title of this article has been romanized due to technical restrictions. The correct title should be Sylow $p$ -subgroup.

A Sylow $\boldsymbol{p}$ -subgroup is a particular type of $p$ -subgroup of a finite group. Specifically, if $G$ is a finite group, then a subgroup $P$ is a Sylow $p$ -subgroup of $G$ if $P$ is a $p$ -group, and $p$ does not divide the index of $G$ .

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+{{DISPLAYTITLE:Sylow ''p''-subgroup}}
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+{{title restriction|Sylow <math>p</math>-subgroup|romanized}}
-{{delete|This wiki page was used for advertisement by user "Innovexpanse" and has no mathematical information/use.}}
+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]]

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Difference between revisions of "Sylow p-subgroup"

Latest revision as of 12:02, 25 February 2025

See also