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Normalisers of primitive permutation groups in quasipolynomial time
Bulletin of the London Mathematical Society ( IF 0.8 ) Pub Date : 2020-04-07 , DOI: 10.1112/blms.12330
Colva M. Roney‐Dougal 1 , Sergio Siccha 2
Affiliation  

We show that given generators for subgroups G and H of S n , if G is primitive then generators for N H ( G ) may be computed in quasipolynomial time, namely 2 O ( log 3 n ) . The previous best known bound was simply exponential.

中文翻译:

拟多项式时间内本原置换群的归一化

我们证明给定的子组生成器 G H 小号 ñ 如果 G 是原始的,然后是生成器 ñ H G 可以用准多项式时间来计算,即 2 Ø 日志 3 ñ 。先前最广为人知的界限就是指数。
更新日期:2020-04-07
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