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Characters and generation of Sylow 2-subgroups
Representation Theory ( IF 0.7 ) Pub Date : 2021-02-25 , DOI: 10.1090/ert/555 Gabriel Navarro , Noelia Rizo , A. A. Schaeffer Fry , Carolina Vallejo
Representation Theory ( IF 0.7 ) Pub Date : 2021-02-25 , DOI: 10.1090/ert/555 Gabriel Navarro , Noelia Rizo , A. A. Schaeffer Fry , Carolina Vallejo
Abstract:We show that the character table of a finite group 
determines whether a Sylow 2-subgroup of 
is generated by 2 elements, in terms of the Galois action on characters. Our proof of this result requires the use of the Classification of Finite Simple Groups and provides new evidence for the so-far elusive Alperin-McKay-Navarro conjecture.
中文翻译：
Sylow 2-亚群的特征和产生
摘要：我们证明了有限组的字符表根据Galois对字符的作用来确定Sylow的2个子组是否由2个元素生成。我们对此结果的证明需要使用有限简单组的分类，并为迄今难以捉摸的Alperin-McKay-Navarro猜想提供新的证据。
更新日期：2021-02-25
determines whether a Sylow 2-subgroup of is generated by 2 elements, in terms of the Galois action on characters. Our proof of this result requires the use of the Classification of Finite Simple Groups and provides new evidence for the so-far elusive Alperin-McKay-Navarro conjecture. 中文翻译：
Sylow 2-亚群的特征和产生
摘要：我们证明了有限组的字符表根据Galois对字符的作用
来确定Sylow的2个子组是否由2个元素生成。我们对此结果的证明需要使用有限简单组的分类，并为迄今难以捉摸的Alperin-McKay-Navarro猜想提供新的证据。
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