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论文类型：期刊论文

发表时间：2012-03-01

发表刊物：ALGEBRA COLLOQUIUM

收录刊物：SCIE、Scopus

卷号：19

期号：1

页面范围：149-158

ISSN号：1005-3867

关键字：maximal subgroup; rational invariant; polynomial invariant

摘要：The maximal subgroups of the finite classical groups are divided into nine classes by Aschbacher's theorem. In this paper, we give explicit transcendental bases of the invariant subfields of those maximal subgroups of classical groups of linear, symplectic and unitary cases that lie in the first two of these classes. Also, we show that the invariant rings of the maximal subgroups of the finite linear groups that lie in the first class are polynomial rings.