关于经典简单群的高尔斯诀窍

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-10-28 DOI:10.1016/j.jpaa.2024.107833

Francesco Fumagalli , Attila Maróti

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引用次数: 0

摘要

如果 A、B、C 是有限简单李型群 G 中的子集，其中至少有两个子集是正常的，且 |A||B||C|| 相对较大，那么我们就建立了比 ABC=G 更强的结论。

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On the Gowers trick for classical simple groups

If A, B, C are subsets in a finite simple group of Lie type G at least two of which are normal with

| A | | B | | C |

relatively large, then we establish a stronger conclusion than

A B C = G

. This is related to a theorem of Gowers and is a generalization of a theorem of Larsen, Shalev, Tiep and the second author and Pyber.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.