کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588055 1334170 2008 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A quasi Curtis–Tits–Phan theorem for the symplectic group
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A quasi Curtis–Tits–Phan theorem for the symplectic group
چکیده انگلیسی

We obtain the symplectic group Sp(V) as the universal completion of an amalgam of low rank subgroups akin to Levi components. We let Sp(V) act flag-transitively on the geometry of maximal rank subspaces of V. We show that this geometry and its rank ⩾3 residues are simply connected with few exceptions. The main exceptional residue is described in some detail. The amalgamation result is then obtained by applying Tits' lemma. This provides a new way of recognizing the symplectic groups from a small collection of small subgroups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 11, 1 June 2008, Pages 4662-4691