Regular orbits of quasisimple linear groups II

[摘要] Let V be a finite-dimensional vector space over a finite field, and suppose G <= Gamma L(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 B subset of V with pointwise stabiliser G(B) = 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)) congruent to PSLn (q) in defining characteristic, with an aim of classifying those with a regular orbit on V. (C) 2021 Elsevier Inc. All rights reserved.

[发布日期] 2021-11-15

[关键词] Base size;Groups of Lie type;Representation theory of quasisimple groups