Difference between revisions of "Sylow p-subgroup"

(definition)
 
m (See also: capitalization)
 
Line 5: Line 5:
 
== See also ==
 
== See also ==
  
* [[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 16:48, 2 June 2008

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