摘要
设G是176阶群,P∈Syl11(G),H∈Syl2(G),借助N/C定理以及群的扩张理论等证明了G共有42种互不同构的类型:(1)当H⊴G时,G有14种互不同构的类型;(2)当H⋬G时,G有28种互不同构的类型。
Letting G be fi nte groups of order 176,P be Sylow 11-subgroups and H be Sylow 2-subgroups,in this paper,with the help of the N/C theorem and the expansion theory of groups,it is proved that there are 42 non-isomorphic types;(1)If H is normal,G has 14 non-isomorphic types;(2)If H is non-normal,G has 28 non-isomorphic types.
作者
施缘
梅霖
Shi Yuan;Mei Lin(School of Mathematics,Yunnan Normal University,Kunming 650500,China)
出处
《黑河学院学报》
2025年第12期186-188,共3页
Journal of Heihe University
关键词
有限群
N/C定理
同构分类
fi nite group
N/C theorem
isomorphic classifi cation
