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On the other pαqβ theorem of Burnside
Published online by Cambridge University Press: 20 January 2009
Extract
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.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 1 , February 1987 , pp. 41 - 49
- Copyright
- Copyright © Edinburgh Mathematical Society 1987
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