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- W4304697930 abstract "It is known that, if all the real-valued irreducible characters of a finite group have odd degree, then the group has normal Sylow $2$-subgroup. We generalize this result for Sylow $p$-subgroups, for any prime number $p$, while assuming the group to be $p$-solvable. In particular, it is proved that a $p$-solvable group has a normal Sylow $p$-subgroup if $p$ does not divide the degree of any irreducible character of the group fixed by a field automorphism of order $p$." @default.
- W4304697930 created "2022-10-12" @default.
- W4304697930 creator A5042137685 @default.
- W4304697930 date "2020-11-07" @default.
- W4304697930 modified "2023-09-29" @default.
- W4304697930 title "On the degrees of irreducible characters fixed by some field automorphism, p-solvable groups" @default.
- W4304697930 doi "https://doi.org/10.48550/arxiv.2011.03804" @default.
- W4304697930 hasPublicationYear "2020" @default.
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