Dickson group
From Encyclopedia of Mathematics
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].
References
[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: http://encyclopediaofmath.org/index.php?title=Dickson_group&oldid=31648
Dickson group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dickson_group&oldid=31648
This article was adapted from an original article by V.D. Mazurov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article