عنوان
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Large subgroups of simple groups
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Finite simple groups Maximal subgroups Simple algebraic groups Triple factorisations
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چکیده
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Let G be a finite group. A proper subgroup H of G is said to be large if the order of H satisfies the bound |H| 3 ? |G|. In this note we determine all the large maximal subgroups of finite simple groups, and we establish an analogous result for simple algebraic groups (in this context, largeness is defined in terms of dimension). An application to triple factorisations of simple groups (both finite and algebraic) is discussed.
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پژوهشگران
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سیدحسن علوی (نفر اول)، تیموتی سی برنس (نفر دوم)
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