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1. Galois action on the principal block and cyclic Sylow subgroups

   https://doi.org/10.2140/ant.2020.14.1953  

   Rizo, Noelia; Schaeffer Fry, A. A.; Vallejo, Carolina (January 2020, Algebra & Number Theory)

   null (Ed.)
2. Characters and generation of Sylow 2-subgroups

   https://doi.org/10.1090/ert/555  

   Navarro, Gabriel; Rizo, Noelia; Schaeffer Fry, A. A.; Vallejo, Carolina (February 2021, Representation Theory of the American Mathematical Society)

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3. Characters and Sylow 2-subgroups of maximal class revisited

   https://doi.org/10.1016/j.jpaa.2018.02.002  

   Navarro, Gabriel; Sambale, Benjamin; Tiep, Pham Huu (November 2018, Journal of Pure and Applied Algebra)
4. Irreducible characters of even degree and normal Sylow 2-subgroups

   https://doi.org/10.1017/S0305004116000669  

   HUNG, NGUYEN NGOC; TIEP, PHAM HUU (March 2017, Mathematical Proceedings of the Cambridge Philosophical Society)

   Abstract The classical Itô-Michler theorem on character degrees of finite groups asserts that if the degree of every complex irreducible character of a finite group G is coprime to a given prime p , then G has a normal Sylow p -subgroup. We propose a new direction to generalize this theorem by introducing an invariant concerning character degrees. We show that if the average degree of linear and even-degree irreducible characters of G is less than 4/3 then G has a normal Sylow 2-subgroup, as well as corresponding analogues for real-valued characters and strongly real characters. These results improve on several earlier results concerning the Itô-Michler theorem. 

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5. Sylow subgroups, exponents, and character values

   https://doi.org/10.1090/tran/7816  

   Navarro, Gabriel; Tiep, Pham Huu (June 2019, Transactions of the American Mathematical Society)