عنوان
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Centralizers and norm of a group
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نوع پژوهش
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مقاله ارائه شده کنفرانسی
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کلیدواژهها
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Norm, Centralizers, Baer groups, Engel groups
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چکیده
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Let G be a group and C(G) denote the intersection of the normalizers of centralizers of all elements of G. Put C0(G) = 1 and define Ci+1(G)/Ci(G) = C(G/Ci(G)) for i " 0. Denote by C1(G) the terminal term of this ascending series. First we show, among other things, some basic properties of Cn(G) and C1(G) and then give a new characterization for nilpotent groups in terms of series in which defined via Cn(G).
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پژوهشگران
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خداداد خرمشاهی (نفر اول)، محمد زرین (نفر دوم)
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