Sylow’s first theorem

If G is a finite groupMathworldPlanetmath and p is a prime ( such that pk divides |G|, then there is a subgroupMathworldPlanetmathPlanetmath ( H of G such that |H|=pk.

This is the first part of several results usually called the Sylow theoremsMathworldPlanetmath.

Title Sylow’s first theorem
Canonical name SylowsFirstTheorem
Date of creation 2013-03-22 14:00:46
Last modified on 2013-03-22 14:00:46
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 11
Author bwebste (988)
Entry type Theorem
Classification msc 20D20
Related topic SylowTheorems
Related topic ProofOfSylowTheorems