| 主理想环上子群Gr在线性群中的扩群 |
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| 引用本文： | 卫宗礼,曲贺梅. 主理想环上子群Gr在线性群中的扩群[J]. 数学季刊, 2008, 23(4) |
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| 作者姓名： | 卫宗礼 曲贺梅 |
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| 作者单位： | [1]Department of Mathematics, Luoyang Teacher＇s College, Luoyang 471022, China [2]Department of Mathematics, Huanghuai College, Zhumadian 463000, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10771093) |
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| 摘 要： | Suppose R is a principal ideal ring,R~* is a multiplicative group which is composed of all reversible elements in R,and M_n(R),GL(n,R),SL(n,R) are denoted by, M_n(R)={A=(a_(ij))_(n×n)|a_(ij)∈R,i,j=1,2,…,n},GL(n,R) = {g|g∈M_n(R),detg∈R~*},SL(n,R) = {g∈GL(n,R)|det g=1},SL(n,R)≤G≤GL(n,R)(n≥3),respectively, then basing on these facts,this paper mainly focus on discussing all extended groups of G_r={(AB OD)∈G|A∈GL(r,R),(1≤r
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| 关 键 词： | 主理想环 子群G 线性群 扩群 |
Extended Group of the Subgroup Gr in Linear Group Over the Principal Ideal Ring |
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| WEI Zong-li,Qu He-mei. Extended Group of the Subgroup Gr in Linear Group Over the Principal Ideal Ring[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(4) |
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| Authors: | WEI Zong-li Qu He-mei |
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| Affiliation: | 1.Department of Mathematics;Luoyang Teacher's College;Luoyang 471022;China;2.Department of Mathematics;Huanghuai College;Zhumadian 463000;China |
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| Abstract: | |
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| Keywords: | principal ideal ring extended group linear group |
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