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Listar por palabra clave "Solvability"

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Listar por palabra clave "Solvability"

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    Normal sections, class sizes and solvability of finite groups 
    Akhlaghi, Zeinab; Beltrán Felip, Antonio; Felipe Román, María Josefa (Elsevier, 2014-02-01)
    If G is a finite group, we show that any normal subgroup of G which has exactly three G-conjugacy class sizes is solvable. Thus, we give an extension for normal subgroups of the classical N. Itô’s theorem which asserts ...
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    Powers of conjugacy classes in a finite groups 
    Beltrán, Antonio; Camina, Rachel Deborah; Felipe Román, María Josefa; Melchor, Carmen (Springer-Verlag, 2020-04)
    [EN] The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability ...
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    Some problems about products of conjugacy classes in finite groups 
    Beltran, Antonio; Felipe Román, María Josefa; Melchor, Carmen (University of Isfahan, 2020-03)
    [EN] We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes. We also collect ...