| 勾股矩阵的性质及表示 |
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| 引用本文： | 宋海洲. 勾股矩阵的性质及表示[J]. 华侨大学学报(自然科学版), 2009, 30(1) |
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| 作者姓名： | 宋海洲 |
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| 作者单位： | 华侨大学,数学科学学院,福建,泉州,362021 |
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| 摘 要： | 研究勾股矩阵的性质及表示.利用数论方法,给出勾股矩阵的数论性质;利用相关代数技巧,证明由所有的勾股矩阵构成的集合T是一个关于矩阵乘法的有限生成群.同时,给出该有限生成群的一个生成元组.
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| 关 键 词： | 勾股数 本原勾股数 群 有限生成 |
The Property and the Representation of Pythagorean Number Matrixes |
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| SONG Hai-zhou. The Property and the Representation of Pythagorean Number Matrixes[J]. Journal of Huaqiao University(Natural Science), 2009, 30(1) |
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| Authors: | SONG Hai-zhou |
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| Affiliation: | School of Mathematics Sciences;Huaoqiao University;Quanzhou 362021;China |
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| Abstract: | This paper discusses the property and the representation of pythagorean number matrixes.By applying number-theoretic method,we obtain some number-theoretic properties of pythagorean number matrixes.Furthermore by some skills of algebra,it is proved that the set of all pythagorean number matrixes is a finitely generated group,and a set of generators of the finitely generated group is given. |
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| Keywords: | pythagorean number primitive pythagorean number group genarator |
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