一类6pⁿ（p≠2,3）阶群的构造

一类6p n （p≠2,3）阶群的构造 THE STRUCTURES OF SOME GROUPS OF ORDER 6p n 黄本文 Huang Benwen 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematies, Wuhan University Department of Mathematies, Wuhan University 利用可解群的性质.通过群的扩张理论,证明了 Sylowp-子群为循环群的6p·《p≠2,3)阶群:（1）p≠5:若p≡1（mod3）时,有8型,若p≡2（mod3）时,有4型.（2）p=5时有8型. In this paper, the following theorem is provea: Theorem The groups of order 6p 2 when sylowp——subgrcaps are cyclic groups have 1) p≠5:8 types when p≡1（mod3）; 4 types when p≡2（mod3）. 2) p=5:8 types. 可解群 循环群 Fitting 子群 正规化子 中心化子 Solvable group cyclic group fitting subgroup normaliger centraliger O152.1 1993-05-01 2021-04-01 5