کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9521150 | 1346639 | 2005 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Congruence classes of presentations for the complex reflection groups G(m, 1, n) and G(m, m, n)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In the present paper, we give a graph-theoretic description for representatives of all the congruence classes of presentations (or r.c.p. for brevity) for the imprimitive complex reflection groups G(m, 1, n) and G(m, m, n). We have three main results. The first main result is to establish a bijection between the set of all the congruence classes of presentations for the group G(m, 1, n) and the set of isomorphism classes of all the rooted trees of n nodes. The next main result is to establish a bijection between the set of all the congruence classes of presentations for the group G(m, m, n) and the set of isomorphism classes of all the connected graphs with n nodes and n edges. Then the last main result is to show that any generator set S of G = G(m, 1, n) or G(m, m, n) of n reflections, together with the respective basic relations on S, form a presentation of G.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 16, Issue 2, 20 June 2005, Pages 267-288
Journal: Indagationes Mathematicae - Volume 16, Issue 2, 20 June 2005, Pages 267-288
نویسندگان
Jian-Yi Shi,