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- W4287751408 abstract "Let $V$ be a finite-dimensional vector space over a finite field, and suppose $G leq Gamma mathrm{L}(V)$ 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 $Bsubseteq V$ 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 $E(G)/Z(E(G)) cong mathrm{PSL}_n(q)$ in defining characteristic, with an aim of classifying those with a regular orbit on $V$." @default.
- W4287751408 created "2022-07-26" @default.
- W4287751408 creator A5063165070 @default.
- W4287751408 date "2020-06-26" @default.
- W4287751408 modified "2023-09-29" @default.
- W4287751408 title "Regular orbits of quasisimple linear groups II" @default.
- W4287751408 doi "https://doi.org/10.48550/arxiv.2006.14954" @default.
- W4287751408 hasPublicationYear "2020" @default.
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