MAGMA Computational Algebra System

Bibliography

AM94

A. Adem and R.J. Milgram.
Cohomology of Finite Groups.
Grundlehren der Mathematischen Wissenschaften. Springer, Berlin-New York-Heidelberg, 1994.

Der99

Harm Derksen.
Computation of Invariants for Reductive Groups.
Adv. Math., 141:366--384, 1999.

Kem96

Gregor Kemper.
Calculating Invariant Rings of Finite Groups over Arbitrary Fields.
J. Symbolic Comp., 21(3):351--366, 1996.

Kem99

Gregor Kemper.
An Algorithm to Calculate Optimal Homogeneous Systems of Parameters.
J. Symbolic Comp., 27(2):171--184, 1999.

Kin07

Simon King.
Minimal generating sets of non-modular invariant rings of finite groups.
http://arxiv.org/abs/math/0703035, 2007.

KS97

Gregor Kemper and Allan Steel.
Some Algorithms in Invariant Theory of Finite Groups.
In P. Dräxler, G.O. Michler, and C.M. Ringel, editors, Computational Methods for Representations of Groups and Algebras, Euroconference in Essen, April 1-5 1997, number 173 in Progress in Mathematics, Basel, 1997. Birkhäuser.

MQB99

Jörg Müller-Quade and Thomas Beth.
Calculating Generators for Invariant Fields of Linear Algebraic Groups.
In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (Honolulu, HI, 1999), number 1719 in LNCS, pages 392--403, Berlin, 1999. Springer.

MQS99

Jörg Müller-Quade and Rainer Steinwandt.
Basic algorithms for rational function fields.
J. Symbolic Comp., 27(2):143--170, 1999.