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The invariants of projective linear group actions
Published online by Cambridge University Press: 17 April 2009
Abstract
Let Fq be the field with q elements and let G = PGLn(Fq) or PSLn(Fq) act on Fq(x1,…,xn−1), the rational function field of n − 1 variables. Then Fq(x1,…,xn−1)G is purely transcendental over Fq. In fact, a set of n − 1 generators of Fq(x1,…xn−1)G, over Fq is exhibited. The case n = 2 is treated by direct computation.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 39 , Issue 1 , February 1989 , pp. 107 - 117
- Copyright
- Copyright © Australian Mathematical Society 1989
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