On finite groups containing no element of order six
Published online by Cambridge University Press: 24 October 2008
Extract
We prove the following theorem:
Theorem A. Let G be a finite simple group of order divisible by 3. Suppose
(i) G contains no element of order 6;
(ii) G has cyclic Sylow 3-subgroups;
(iii) G does not involve A4;
(iv) Every 3′-simple section of G is a Suzuki group.
Then G ≅ SL(2, 2n) for some odd n ≥ 3.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 2 , March 1977 , pp. 209 - 224
- Copyright
- Copyright © Cambridge Philosophical Society 1977
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