李型有限群的无冗余基

Pub Date : 2022-12-15 DOI:10.2140/pjm.2023.322.281

Nick Gill, M. Liebeck

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引用次数: 2

摘要

我们证明了李型有限单群的基元作用的非冗余基的最大长度在上面由一个函数定界，该函数是群秩中的多项式。我们举例说明这种类型的上界是最好的可能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Irredundant bases for finite groups of Lie type

We prove that the maximum length of an irredundant base for a primitive action of a finite simple group of Lie type is bounded above by a function which is a polynomial in the rank of the group. We give examples to show that this type of upper bound is best possible.

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