Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

The properties of matricesαI+βJ and some related problems

The properties of matricesαI+βJ and some related problems LetF be a field,v(≥2) an integer,I v the identity matrix of orderv, andJ v the all-one matrix of orderv. LetD={αI v+βJ v∈GL v(F)|α,β∈F}, and ℊ={C∈GL v(F)| the row-sums and the column-sums ofC are all equal}. In this paper, we study (1) the center and the centralizer of ℊ, (2) the centralizer and the normalizer ofD whenv=2, and (3) the orders ofD, ℊ and the normalizer ofD. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The properties of matricesαI+βJ and some related problems

Loading next page...
 
/lp/springer-journals/the-properties-of-matrices-i-j-and-some-related-problems-Z0Mbub1wKq

References (3)

Publisher
Springer Journals
Copyright
Copyright © 1988 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02007237
Publisher site
See Article on Publisher Site

Abstract

LetF be a field,v(≥2) an integer,I v the identity matrix of orderv, andJ v the all-one matrix of orderv. LetD={αI v+βJ v∈GL v(F)|α,β∈F}, and ℊ={C∈GL v(F)| the row-sums and the column-sums ofC are all equal}. In this paper, we study (1) the center and the centralizer of ℊ, (2) the centralizer and the normalizer ofD whenv=2, and (3) the orders ofD, ℊ and the normalizer ofD.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

There are no references for this article.