| 关于拟置换矩阵群的结构 |
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| 引用本文： | 岑建苗,董张维.关于拟置换矩阵群的结构[J].苏州大学学报(医学版),1989,5(2):211-213. |
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| 作者姓名： | 岑建苗 董张维 |
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| 作者单位： | 宁波师范学院，苏州大学 |
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| 摘 要： | 本文沿用1]关于拟置换矩阵的定义。容易验证,所有拟置换矩阵所组成的集合关于矩阵的乘法构成一个群。将此群记为(?)_n~*=(1,—1)。定义如果U是(?)_n~*(1,—1)的一个子群,那么称U为拟置换矩阵群。为了叙述方便,再介绍一些术语和记号。
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| 关 键 词： | 置换群 拟置换矩阵 有限群构造 |
ON THE STRUCTURE OF QUASIPERMUTATION MATRIX GROUPS |
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| Cen Jianmiao.ON THE STRUCTURE OF QUASIPERMUTATION MATRIX GROUPS[J].Journal of Suzhou University(Natural Science),1989,5(2):211-213. |
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| Authors: | Cen Jianmiao |
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| Institution: | Cen Jianmiao(Ningbo Normall College) Dong Zhangwei(Suzhou University) |
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| Abstract: | In this paper, we discuss the structure of quasipermutation matrix groups. The main result is that a quasipermutation matrix gronp can be imbedded in the wreath product of the multiplicative group {1,-1} and a permutation group. In particular, the group of all quasipermutation marries is isomorphic to the wreath product of the multiplicative group {-1, 1} and the symmetric group of degree n. At the same time, we give another expression of the wreath product. |
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| Keywords: | quasipermutation matrix quasipermutation matrix group permutation matrix permutation group wreath product |
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