中心商同构于p^6阶第十九家族的一类LA-群  

A class of LA-groups with central quotients being isomorphic to the order of p^6-group of nineteenth family

作　　者：陈科成[1] 班桂宁[1] 聂婷婷[1] 

机构地区：[1]广西大学数学与信息科学学院,南宁530004

出　　处：《浙江科技学院学报》2016年第5期337-343,共7页Journal of Zhejiang University of Science and Technology

摘　　要：基于Rodney James的p6阶群的完全同构分类理论,继续LA-群的研究工作。利用群的扩张理论与自由群理论,得到一类中心非循环且中心商同构与Φ19(16)的有限p-群,最后运用自同构的性质证明了此类群是LA-群。Based on the complete isomorphism classification theory of Rodney Jamess groups of order p6,we continue to study the LA-group.By using the extension theory of group and the theory of free group,we get a new series of finite p-groups with central non-cyclic and quotients being isomorphic to the group ofΦ19(16).Eventually we prove that the groups are new LA-groups by the characteristic of their automorphisms.

关 键 词：有限P-群 群的扩张 LA-群 自由群 

分 类 号：O152.1[理学—数学]