Irredundant bases for finite groups of Lie type

IF 0.7 3区数学 Q2 MATHEMATICS

Pacific Journal of Mathematics Pub Date : 2022-12-15 DOI:10.2140/pjm.2023.322.281

Nick Gill, M. Liebeck

引用次数: 2

Abstract

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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李型有限群的无冗余基

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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来源期刊

Pacific Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Founded in 1951, PJM has published mathematics research for more than 60 years. PJM is run by mathematicians from the Pacific Rim. PJM aims to publish high-quality articles in all branches of mathematics, at low cost to libraries and individuals. The Pacific Journal of Mathematics is incorporated as a 501(c)(3) California nonprofit.