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Regular orbits of quasisimple linear groups II
Journal of Algebra ( IF 0.9 ) Pub Date : 2021-07-21 , DOI: 10.1016/j.jalgebra.2021.07.005
Melissa Lee 1
Affiliation  

Let V be a finite-dimensional vector space over a finite field, and suppose GΓL(V) is a group with a unique subnormal quasisimple subgroup E(G) that is absolutely irreducible on V. A base for G is a set of vectors BV with pointwise stabiliser GB=1. If G has a base of size 1, we say that it has a regular orbit on V. In this paper we investigate the minimal base size of groups G with E(G)/Z(E(G))PSLn(q) in defining characteristic, with an aim of classifying those with a regular orbit on V.



中文翻译:

拟单线性群 II 的规则轨道

V是有限域上的有限维向量空间,并假设GΓ() 是具有唯一次正规准简单子群的群 (G)V上绝对不可约。甲ģ是一组向量 带点稳定器 G=1. 如果G有一个大小为 1 的基,我们说它在V上有一个规则的轨道。在本文中,我们调查组的最小化的基本尺寸(G)/Z((G))PSLn(q)在定义特征时,目的是对在V上具有规则轨道的那些进行分类。

更新日期:2021-07-27
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