Burnside p-q theorem

Any group whose order is divisible by only two distinct primes is solvable. (These two distinct primes are the p and q of the title.)

It follows that if G is a non-abelian finite simple group, then |G| must have at least three distinct prime divisorsPlanetmathPlanetmathPlanetmath.

Title Burnside p-q theorem
Canonical name BurnsidePqTheorem
Date of creation 2013-03-22 13:15:58
Last modified on 2013-03-22 13:15:58
Owner yark (2760)
Last modified by yark (2760)
Numerical id 8
Author yark (2760)
Entry type Theorem
Classification msc 20D05