Dickson group

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The group of exponential automorphisms of a classical simple Lie algebra of type over a finite field . If the order of is , the order of the Dickson group is . If the Dickson group is a simple group. These groups were discovered by L.E. Dickson [1]. During the 50 years which followed no new finite simple group could be discovered, until a general method for obtaining simple groups as groups of automorphisms of simple Lie algebras was discovered by C. Chevalley [2]. In particular, Chevalley's method makes it possible to obtain Dickson groups as well [3].


[1] L.E. Dickson, "A new system of simple groups" Math. Ann. , 60 (1905) pp. 137–150
[2] C. Chevalley, "Sur certains groupes simples" Tôhoku Math. J. , 7 (1955) pp. 14–66
[3] R.W. Carter, "Simple groups of Lie type" , Wiley (Interscience) (1972)
How to Cite This Entry:
Dickson group. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by V.D. Mazurov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article