| 一类基于第三十一家族的LA-群 |
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| 引用本文： | 班桂宁,许永峰,陈倩,赵丽萍.一类基于第三十一家族的LA-群[J].韶关学院学报,2014(10):5-7. |
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| 作者姓名： | 班桂宁 许永峰 陈倩 赵丽萍 |
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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(61074185)；广西自然科学基金 |
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| 摘 要： | 利用群的扩张理论对p6阶群椎31（16）进行了推广，得到了一类新的P-群，给出了它的一些性质，特别地验证了它是LA-群。
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| 关 键 词： | 有限P群 自同构群 自由群 LA-猜想 阶 |
A class of LA-groups based on the thirty-first family group |
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| BAN Gui-ning,XU Yong-feng,CHEN Qian,ZHAO Li-ping.A class of LA-groups based on the thirty-first family group[J].Journal of Shaoguan University(Social Science Edition),2014(10):5-7. |
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| Authors: | BAN Gui-ning XU Yong-feng CHEN Qian ZHAO Li-ping |
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| Institution: | (School of Mathematics and Information Sciences, Guangxi University, Nanning 530004, Guangxi, China) |
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| Abstract: | This paper was a generalization of the order of p6 of Ф31 （16） group, by using the extension theory of group, and a new series of P-group was obtained. And some properties were shown. Particularly, it proved that the group was new LA-group. |
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| Keywords: | finite group automorphism group free group LA-conjecture order |
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