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A remark on the Brauer–Fowler theorems
Archiv der Mathematik ( IF 0.5 ) Pub Date : 2021-01-14 , DOI: 10.1007/s00013-020-01574-w
Enrico Jabara

Let G be a finite group of even order that has no 2-rank 1. We will prove, using only elementary methods, that there is an involution $$t \in G$$ t ∈ G such that $$|G| < |C_{G}(t)|^{6}$$ | G | < | C G ( t ) | 6 .

中文翻译:

关于布劳尔-福勒定理的评论

令 G 是一个没有 2-rank 1 的偶数阶有限群。我们将仅使用初等方法证明存在对合 $$t \in G$$ t ∈ G 使得 $$|G| < |C_{G}(t)|^{6}$$ | G | < | CG ( t ) | 6 .
更新日期:2021-01-14
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