CAJ | 학술논문

设G是72（即23·32）阶群，采用新的方法对群G进行了完全分类，证明了G共有50种不同构的类型：若Sylow子群都正规，则G有10种；若Sylow 2-子群正规而Sylow 3-子群不正规，则G有4种；若Sylow 3-子群正规而Sylow 2-子群不正规，则G有32种；若Sylow子群都不正规，则G有4种。
설G시72（즉23·32）계군，채용신적방법대군G진행료완전분류，증명료G공유50충불동구적류형：약Sylow자군도정규，칙G유10충；약Sylow 2-자군정규이Sylow 3-자군불정규，칙G유4충；약Sylow 3-자군정규이Sylow 2-자군불정규，칙G유32충；약Sylow자군도불정규，칙G유4충。
Let G be finite groups of order 72 ( i.e.23 · 32 ).In this paper, we have showed that G has 50 nonisomorphic types,i.e.1)If every Sylow subgroup is normal , G has 10 nonisomorphic types;2) If every Sylow 2-subgroup is normal and every Sylow 3-subgroup is non -normal, G has 4 nonisomorphic types;3 ) If every Sylow 3-subgroup is normal and every Sylow 2-subgroup is non -normal, G has 32 nonisomorphic types;4) If every Sylow subgroup is non -normal , G has 4 nonisomorphic types .