| 基于第十七家族群的LA-群的新系列 |
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| 引用本文： | 班桂宁,张艳,朱彩凤,惠敏.基于第十七家族群的LA-群的新系列[J].贵州大学学报(自然科学版),2012,29(1):9-16. |
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| 作者姓名： | 班桂宁 张艳 朱彩凤 惠敏 |
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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（0832054） |
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| 摘 要： | 本文利用群的扩张理论对p6阶群中的第十七家族群进行推广研究,得到了一类新的p-群。特别地,证明了所给的群是新的LA-群且满足LA(2)-猜想,从而获得了若干LA-群的新系列。
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| 关 键 词： | 有限p-群 LA-群 LA-猜想 自同构 阶 |
New Series of LA-groups Based on the Seventeenth Family Group |
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| BAN Gui-ning
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ZHANG Yan
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ZHU Cai-feng
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HUI Min.New Series of LA-groups Based on the Seventeenth Family Group[J].Journal of Guizhou University(Natural Science),2012,29(1):9-16. |
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| Authors: | BAN Gui-ning ZHANG Yan ZHU Cai-feng HUI Min |
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| Institution: | (School of Mathematics and Information Sciences, Guangxi University, Nanning 530004, China) |
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| Abstract: | In this paper, we generalized the order ofp6 of the family Ф7 group by using the extension theory of group, new series of p-group was obtained. Particularly, we proved that the groups are all new LA-groups and satisfy LA（2）-conjecture, so a number of new LA-groups were obtained. |
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| Keywords: | finite p-group LA-group LA-conjecture automorphism order |
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