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Sylow p-subgroup

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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

Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams?
Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk.
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