IBIS primitive groups of almost simple type

被引：0

作者：

Mastrogiacomo, Fabio ^{[1
]}

Spiga, Pablo ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat Felice Casorati, Via Ferrata 5, I-27100 Pavia, Italy

[2] Univ Milano Bicocca, Dipartimento Matemat Pura & Applicata, Via Cozzi 55, I-20126 Milan, Italy

来源：

JOURNAL OF ALGEBRA | 2025年 / 670卷

关键词：

IBIS; Base size; Irredundant base; Almost simple; Lie group; FINITE CLASSICAL-GROUPS; FIXED-POINT RATIOS; BASE SIZES;

D O I：

10.1016/j.jalgebra.2025.01.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite permutation group on Omega. An ordered sequence (omega 1 ... , omega e) of elements of Omega 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. (c) 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons.org/licenses/by/4.0/).

引用

页码：48 / 103

页数：56

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