Sylow 7—群为循环群的(2~3)·(7~n)阶群的构造

The Structures of Groups of Order 2~37~n When Sylow 7-Subgroups Are Cyclic Groups

文献[1]利用超可解群的性质,通过群的扩张理论,解决了2~3P^n阶群当Sylowp—子群为循环群时的构造,但在那里假定了P≠3,7,从而保证了Sylowp—子群永远正规,本文解决了P=7,也就是当Sylow7—子群循环而不正规时2~3·7~n阶群的构造。

In this pape the following the ovem is proved the ovem Groups of order2~3·7^(?) when sylow 7—subgroups are cyclic groups have 13 types