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A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank
Bulletin of the London Mathematical Society ( IF 0.9 ) Pub Date : 2020-05-21 , DOI: 10.1112/blms.12338
N. Gill 1 , L. Pyber 2 , E. Szabó 2
Affiliation  

We prove that if G is a finite simple group of Lie type and S 1 , , S k are subsets of G satisfying i = 1 k | S i | | G | c for some c depending only on the rank of G , then there exist elements g 1 , , g k such that G = ( S 1 ) g 1 ( S k ) g k . This theorem generalizes an earlier theorem of the authors and Short.

中文翻译:

Rodgers和Saxl定理的简单推广

我们证明 G 是一个有限的李型群 小号 1个 小号 ķ 是的子集 G 满意的 一世 = 1个 ķ | 小号 一世 | | G | C 对于一些 C 仅取决于等级 G ,则存在元素 G 1个 G ķ 这样 G = 小号 1个 G 1个 小号 ķ G ķ 。该定理推广了作者和肖特的早期定理。
更新日期:2020-05-21
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