论文标题
构建外部正常化子组的更快方法
A faster method to construct extraspecial normaliser subgroups
论文作者
论文摘要
我们展示了如何提高$ \ perpotatorName {sl}（d，q）的最大亚组的运行时间，\ operatorname {su}（d，q）$和$ \ operatorname {sp} {sp}（d，d，q）$ ys sumptecial群或$ 2 $ - 格鲁群（q）的正常人（q）$ 2 $ - 格鲁群（Q）的正常人（q）从$ O（d^3 \ log d \ log q+\ log^2 q）$ to $ o（d^2 \ log d \ log^{1+ \ varepsilon} q+\ log^{2+ \ varepsilon} q）$。
We show how to improve the runtime of the construction of generators of maximal subgroups of $\operatorname{SL}(d, q), \operatorname{SU}(d, q)$ and $\operatorname{Sp}(d, q)$ which arise as normalisers of extraspecial groups or $2$-groups of symplectic type given by Holt and Roney-Dougal (2005) from $O(d^3\log d\log q+\log^2 q)$ to $O(d^2\log d\log^{1+\varepsilon} q+\log^{2+\varepsilon} q)$.
