The depth of the maximal subgroups of Ree groups

被引：5

作者：

Hethelyi, Laszlo ^{[1
]}

Horvath, Erzsebet ^{[1
]}

Petenyi, Franciska ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Dept Algebra, Muegyet Rkp 3-9, H-1521 Budapest, Hungary

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 01期

关键词：

Ree groups; combinatorial depth; ordinary depth; maximal subgroup; primitive action; base size; subdegree; PSL(2;

D O I：

10.1080/00927872.2018.1461885

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the combinatorial and the ordinary depth of the maximal subgroups of the simple Ree groups (2)G(2)(q). As an application of these calculations, we determine the subdegrees of primitive actions of the groups (2)G(2)(q). We also improve an earlier estimate of Burness, Liebeck, and Shalev on the base size of" non-standard" primitive actions of (2)G(2)(q) on the coset space of maximal subgroups from 3 to 2.

引用

页码：37 / 66

页数：30

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