| STEINER 3—系的代数结构 |
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| 引用本文： | 赵英,张成业.STEINER 3—系的代数结构[J].山西师范大学学报,1989(2). |
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| 作者姓名： | 赵英 张成业 |
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| 作者单位： | 山西师大数学系，山西师大数学系 |
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| 摘 要： | 本文引入宽线性空间的概念,并借助于此来讨论Steiner 3—系,证明了每个GF(3)上的宽线性空间,确定一个Steiner 3—系.反之,每个Steiner 3—系也确定一个GF(3)上的宽线性空间,作为宽线性空间概念的应用,对一种Steiner 3—系的自同构群的结构作了讨论。
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| 关 键 词： | 代数 Steiner系 群 |
THE ALGEBRAIC STRUCTURE OF STEINER TRIPLE SYSTEMS |
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| Zhao Ying Zhang Cheng Ye.THE ALGEBRAIC STRUCTURE OF STEINER TRIPLE SYSTEMS[J].Journal of Shanxi Teachers University,1989(2). |
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| Authors: | Zhao Ying Zhang Cheng Ye |
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| Institution: | Zhao Ying Zhang Cheng Ye |
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| Abstract: | This paper raised a concept of broad linear spaces and discussed Steiner triple systems,It has been proved that every broad linear space over GF(3) can be regarded as a Stiener triple system,convesely, every Stiener triple system cart be regarded as a broad linear space over GF(3). As an application of this concept the structure of the automorphism group of the Steiner triple systems also has been discussed. |
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| Keywords: | Algebra Steiner system Group |
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