]> 2010-03-18T18:35:18-07:00 Order has only two prime factors implies solvable Fact 886 Section 19.2 (''Theorems of Burnside and Hall'') The proof of the theorem spans over pages 886-890, covering several definitions and lemmas. 886 Section 19.2 (''Theorems of Burnside and Hall'') The proof of the theorem spans over pages 886-890, covering several definitions and lemmas. 886 Section 19.2 (''Theorems of Burnside and Hall'') The proof of the theorem spans over pages 886-890, covering several definitions and lemmas. Hall's theorem Uses property satisfaction of Order of quotient group divides order of group Lagrange's theorem Conjugacy class of prime power order implies not simple Prime power order implies not centerless Sylow subgroups exist Uses Stated in Paper:Burnsidep^aq^b Referenced in Proves property satisfaction of Book:DummitFoote Proved in Page class Solvable group Group whose order has at most two prime factors Fact about Group property implications