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Wandi Wei (1987)
The Properties of MatricesαI+βJ and Their ApplicationsNature Journal, 6
Zhexian Wan, Zongduo Dai, Xuning Feng, Benfu Yang (1966)
Studies in Finite Geometries and the Construction of Incomplete Block Designs
H. Procter (1872)
On a Measuring Apparatus for Direct-Vision SpectroscopesNature, 6
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.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 13, 2005
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