Pacific Journal of Mathematics

An application of Steinberg's construction of twisted groups.

Eivind Stensholt

Article information

Pacific J. Math., Volume 55, Number 2 (1974), 595-618.

First available in Project Euclid: 8 December 2004

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20G40: Linear algebraic groups over finite fields


Stensholt, Eivind. An application of Steinberg's construction of twisted groups. Pacific J. Math. 55 (1974), no. 2, 595--618.

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  • [or 7] , ; respectively, independentlyof i, 1 ^ i ^ N, and of whether = + or =~. Proof. Because of (2.14), the fixpointgroups of the N restrictions I|ub(g!3?l), 1 <;i ^ N, are all isomorphic.Hence it suffices to con- sider Ib(g|5?1), luh being as in (1.2). Butthis restriction is just the automorphism which is the basis for Steinberg's twisting procedure.
  • [1] Artin, Geometric Algebra, Intersc. Publ., N. Y.,1957.
  • [2] Bourbaki, Groupes et algebres de Lie, Ch.IV, V, VI, Hermann, Paris, 1968.
  • [3] Carter, Simple Groups of Lie Type, John Wiley & Sons,1972.
  • [4] Steinberg, Lectures on Chevalley Groups^ Yale Univ.,1967.