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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
中文翻译:
拟单线性群 II 的规则轨道
更新日期:2021-07-27
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 is a group with a unique subnormal quasisimple subgroup that is absolutely irreducible on V. A base for G is a set of vectors with pointwise stabiliser . 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 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
设V是有限域上的有限维向量空间,并假设 是具有唯一次正规准简单子群的群 在V上绝对不可约。甲碱为ģ是一组向量 带点稳定器 . 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摹与在定义特征时,目的是对在V上具有规则轨道的那些进行分类。