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Weyl ǵroups and finite Chevalley ǵroups

Published online by Cambridge University Press:  24 October 2008

R. W. Carter
R. W. Carter
Affiliation:
University of Warwick
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Extract

In his fundamental paper (1) Chevalley showed how to associate with each complex simple Lie algebra L and each field K a group G = L(K) which is (in all but four exceptional cases) simple. If K is a finite field GF(q), G is a finite group of order

where l is the rank of L, m is the number of positive roots of L and d is a certain integer determined by L and K. The integers m1, m2,…,m1 are determined by L only and satisfy the condition

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 2 , March 1970 , pp. 269 - 276
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Chevalley, C.Sur certains groupes simplex. Tóhoku Math. J. 7 (1955), 14–66.Google Scholar
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