کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599247 1631126 2015 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Triple factorisations of the general linear group and their associated geometries
ترجمه فارسی عنوان
فازی سازی های سه گانه گروه خطی کلی و هندسه های مربوط به آنها
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Triple factorisations of finite groups G   of the form G=PQPG=PQP are essential in the study of Lie theory as well as in geometry. Geometrically, each triple factorisation G=PQPG=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)GL(V) as PQP where the subgroups P and Q either fix a subspace or fix a decomposition of V   as V1⊕V2V1⊕V2 with dim⁡(V1)=dim⁡(V2)dim⁡(V1)=dim⁡(V2).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 469, 15 March 2015, Pages 169–203
نویسندگان
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