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On finite groups containing no element of order six

Published online by Cambridge University Press:  24 October 2008

A. P. Tyrer
A. P. Tyrer
Affiliation:
Magdalene College, Cambridge
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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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References

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