| 一类基于p~6阶二十七家族群的推广 |
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| 引用本文： | 班桂宁,王玉琪,田甜.一类基于p~6阶二十七家族群的推广[J].贵州师范大学学报(自然科学版),2014,32(6):54-59. |
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| 作者姓名： | 班桂宁 王玉琪 田甜 |
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| 作者单位： | 广西大学数学与信息科学学院,广西南宁,530004 |
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| 基金项目： | 国家自然科学基金，广西自然科学基金 |
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| 摘 要： | 对p6阶二十七家族群中定义关系进行推广,利用群的扩张理论与自由群理论分别证明了扩张后的群的存在性与定义关系的准确性,得到了一系列新的p-群,并给出了它们的一些性质。
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| 关 键 词： | 有限p-群 LA-群 阶 自由群 扩张 |
A class based on the group of twenty-seven family of order p6 to generalize |
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| BAN Guining,WANG Yuqi,TIAN Tian.A class based on the group of twenty-seven family of order p6 to generalize[J].Journal of Guizhou Normal University(Natural Sciences),2014,32(6):54-59. |
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| Authors: | BAN Guining WANG Yuqi TIAN Tian |
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| Institution: | BAN Guining;WANG Yuqi;TIAN Tian;School of Mathematics and Information Sciences,Guangxi University; |
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| Abstract: | We generalized the defining relations of the group of twenty-sevenfamily of order p^6 then proved the existence of extended group using the extension theory and the accuracy of the defining relations using free group theory,a new series of p-group are obtained. And some properties are given. |
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| Keywords: | finite p-group LA-group order free group extension |
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