论文标题
轨道对主要电力订单组的扩展分类
Orbits classifying extensions of prime power order groups
论文作者
论文摘要
有限基团扩展的强同构类别是通过对第二个共同体学组的规定作用的轨道参数化的。我们研究了这些轨道在有限的Abelian $ p $ group的情况下以循环为$ P $的延长。作为一个应用程序，我们计算这些轨道的数字和大小时，当初始$ p $ group最多由$ 3 $元素生成。
The strong isomorphism classes of extensions of finite groups are parametrized by orbits of a prescribed action on the second cohomology group. We study these orbits in the case of extensions of a finite abelian $p$-group by a cyclic factor of order $p$. As an application, we compute number and sizes of these orbits when the initial $p$-group is generated by at most $3$ elements.
