Finite p-groups with a minimal non-abelian subgroup of index p (I)

作者：Qu Haipeng; Yang Sushan; Xu Mingyao; An Lijian^*

来源：Journal of Algebra, 2012, 358: 178-188.

DOI：10.1016/j.jalgebra.2012.03.007

• Minimal non-abelian p-groups
• Metabelian p-groups
• Regular p-groups
• p-Groups of maximal class

For an odd prime p, we classify finite p-groups with a unique minimal non-abelian subgroup of index p. In fact, such groups have a maximal quotient which is a 3-group of maximal class. This paper is a part of classification of finite p-groups with a minimal non-abelian subgroup of index p, and partly solves a problem proposed by Berkovich.

• 出版日期2012-5-15
• 单位山西师范大学