The soluble radical and orbits of certain maps on finite groups
نویسندگان
چکیده
For each element u in a finite group G define map θ : → by ( g ) = [ − , ] and set Θ { ∈ | n for some > 0 } . Then induces permutation of ; let β be the number orbits apart from {1}. Building on work J.N. Bray, R.A. Wilson second author, we show that index soluble radical is bounded terms values 2-elements
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2021.03.020