IBIS几乎简单类型的原始群

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-03-05 DOI:10.1016/j.jalgebra.2025.01.026

Fabio Mastrogiacomo , Pablo Spiga

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引用次数: 0

摘要

设G是Ω上的一个有限置换群。如果点稳定子是平凡的，且没有点被它的前一个稳定子所固定，则Ω的元素的有序序列（ω1…，ω 1）是G的无冗余基。一个无冗余基的最小基数是G的基数大小。如果G的所有无冗余基具有相同的基数，则G被称为IBIS群。本文对基大小至少为6的有限类几乎简单原始IBIS群进行了分类。

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IBIS primitive groups of almost simple type

Let G be a finite permutation group on Ω. An ordered sequence

(ω_{1} \dots, ω_{ℓ})

of elements of Ω is an irredundant base for G if the pointwise stabilizer is trivial and no point is fixed by the stabilizer of its predecessors. The minimal cardinality of an irredundant base is said to be the base size of G. If all irredundant bases of G have the same cardinality, G is said to be an IBIS group.

In this paper, we classify the finite almost simple primitive IBIS groups whose base size is at least 6.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.