IBIS primitive groups of almost simple type

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

引用次数: 0

Abstract

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.

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