کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498288 | 1631198 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Primitive normal matrices and covering numbers of finite groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A primitive matrix is a square matrix M with nonnegative real entries such that the entries of Ms are all positive for some positive integer s. The smallest such s is called the primitivity index of M. Primitive matrices of normal type (namely: MMT and MTM have the same zero entries) occur naturally in studying the so called “conjugacy-class covering number” and “character covering number” of a finite group. We show that if M is a primitive n Ã n matrix of normal type with minimal polynomial of degree m, then the primitivity index of M is at most n2+1(m-1). This bound is then applied to improve known bounds for the various covering numbers of finite groups.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 403, 1 July 2005, Pages 165-177
Journal: Linear Algebra and its Applications - Volume 403, 1 July 2005, Pages 165-177
نویسندگان
D. Chillag, R. Holzman, I. Yona,