论文标题

简单代数组中的常规独立元素的过度组

Overgroups of regular unipotent elements in simple algebraic groups

论文作者

Malle, Gunter, Testerman, Donna M.

论文摘要

我们研究了含有常规一能元素的几乎简单代数基团的正差闭合亚组。我们的主要结果指出,除非可能在其连接的组件为圆环时,除非可能会在适当的抛物线亚组内。这扩展了Testerman和Zalesski处理连接的还原亚组的较早结果。

We investigate positive-dimensional closed reductive subgroups of almost simple algebraic groups containing a regular unipotent element. Our main result states that such subgroups do not lie inside proper parabolic subgroups unless possibly when their connected component is a torus. This extends the earlier result of Testerman and Zalesski treating connected reductive subgroups.

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