Art of Problem Solving

Sylow p-subgroup: Difference between revisions

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{{DISPLAYTITLE:Sylow ''p''-subgroup}}
{{title restriction|Sylow <math>p</math>-subgroup|romanized}}
{{title restriction|Sylow <math>p</math>-subgroup|romanized}}


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* [[Sylow Theorems]]
* [[Sylow Theorems]]
* [[p-group |<math>p</math>-group]]
* [[p-group|<math>p</math>-group]]


[[Category:Group theory]]
[[Category:Group theory]]

Latest revision as of 11:02, 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 $G$.

See also