کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9497139 1630759 2005 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coxeter systems with two-dimensional Davis-Vinberg complexes
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Coxeter systems with two-dimensional Davis-Vinberg complexes
چکیده انگلیسی
In this paper, we study Coxeter systems with two-dimensional Davis-Vinberg complexes. We show that for a Coxeter group W, if (W,S) and (W,S′) are Coxeter systems with two-dimensional Davis-Vinberg complexes, then there exists S″⊂W such that (W,S″) is a Coxeter system which is isomorphic to (W,S) and the sets of reflections in (W,S″) and (W,S′) coincide. Hence, the Coxeter diagrams of (W,S) and (W,S′) have the same number of vertices, the same number of edges and the same multiset of edge-labels. This is an extension of the results of A. Kaul and N. Brady, J.P. McCammond, B. Mühlherr and W.D. Neumann.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 197, Issues 1–3, 1 May 2005, Pages 159-170
نویسندگان
,