Burnside's theorem
= Burnside's theorem
{c}
{title2=$|G|=p^a q^b$}
{wiki}
= Burnside's pa qb theorem
{c}
{synonym}
Every <finite group> whose order is divisible by at most two distinct <primes> is a <solvable group>. A nonabelian <simple group> must therefore have at least three distinct prime divisors.