We call a flag variety admissible if its automorphism group is the projective general linear group. (This holds in most cases.)

Let K be a field of characteristic 0, containing all roots of unity. Let the K-variety X be a form of an admissible flag variety. We prove that X is either ruled, or the automorphism group of X is bounded, meaning that there exists a constant C ∈ ℕ such that if G is a finite subgroup of Aut_K(X), then the cardinality of G is smaller than C.

中文翻译：

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旗型自同构群的有界性

如果旗形的自同构群是射影一般线性群，我们就称其为可采。（在大多数情况下适用。）

令K为特征0的字段，其中包含所有单位根。令K变量X为可允许的标志变量的一种形式。我们证明了X要么排除，或的自同构组X是有界的，即存在一个常数C ^  ∈ℕ使得如果ģ是AUT的有限子群_ķ（X），然后的基数ģ小于Ç。