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Listar por Patrocinador "University of Jinan"

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Listar por Patrocinador "University of Jinan"

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    Class sizes of prime-power order p'-elements and normal subgroups 
    Beltrán, Antonio; Felipe Román, María Josefa; Shao, Changguo (Springer Verlag (Germany), 2015-10)
    We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three different directions at the same time: normal subgroups, p′p′-elements and prime-power order elements. Let NN be a normal subgroup ...
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    p-divisibility of conjugacy class sizes and normal p-complements 
    Beltrán, Antonio; Felipe Román, María Josefa; Shao, Changguo (De Gruyter, 2015-01)
    . Let N be a normal subgroup of a group G and let p be a prime. We prove that if the p-part of jx Gj is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement.