مشخصات پژوهش

صفحه نخست /Large subgroups of simple ...
عنوان Large subgroups of simple groups
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Finite simple groups Maximal subgroups Simple algebraic groups Triple factorisations
چکیده 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.
پژوهشگران سیدحسن علوی (نفر اول)، تیموتی سی برنس (نفر دوم)