The “other” pαqβ theorem of Burnside states the following:
Theorem A.l. Let G be a group of order pαqβ, where p and q are distinct primes. If pα>qβ, then Op(G)≠1 unless
(a) p is a Mersenne prime and q = 2;
(b) p = 2 and q is a Fermat prime; or
(c) p = 2 and q = 7.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.
* Views captured on Cambridge Core between September 2016 - 29th May 2017. This data will be updated every 24 hours.