مشخصات پژوهش

عنوان	Triple factorisations of the general linear group and their associated geometries
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Triple factorisation,Flag-transitive geometry,General linear group,Primitive group
چکیده	Triple factorisations of finite groups G of the form G = PQP are essential in the study of Lie theory as well as in geometry. Geometrically, each triple factorisation G = PQP corresponds to a G-flag transitive point/line geometry such that ‘each pair of points is incident with at least one line’. We call such a geometry collinearly complete, and duality (interchanging the roles of points and lines) gives rise to the notion of concurrently complete geometries. In this paper, we study triple factorisations of the general linear group GL(V ) as PQP where the subgroups P and Q either fix a subspace or fix a decomposition of V as V 1 ⊕ V 2 with dim(V 1 ) = dim(V 2 ).
پژوهشگران	سیدحسن علوی (نفر اول)، جان بمبرگ (نفر دوم)، شریل ای پریگر (نفر سوم)