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• W2963563764 abstract "Navarro has conjectured a necessary and sufficient condition for a finite group $G$ to have a self-normalizing Sylow $2$-subgroup, which is given in terms of the ordinary irreducible characters of $G$. In a previous article, Schaeffer Fry has reduced the proof of this conjecture to showing that certain related statements hold for simple groups. In this article, we describe the action of Galois automorphisms on the Howlett–Lehrer parametrization of Harish-Chandra induced characters. We use this to complete the proof of the conjecture by showing that the remaining simple groups satisfy the required conditions." @default.
• W2963563764 created "2019-07-30" @default.
• W2963563764 creator A5012113316 @default.
• W2963563764 date "2018-10-02" @default.
• W2963563764 modified "2023-09-25" @default.
• W2963563764 title "Galois automorphisms on Harish-Chandra series and Navarro’s self-normalizing Sylow $2$-subgroup conjecture" @default.
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• W2963563764 doi "https://doi.org/10.1090/tran/7590" @default.
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