科研之友
微信
新浪微博
Facebook
分享链接
摘要
A finite group G is said to be a minimal non-P-n group if G is not a group of class <= n whose proper subgroups are of class <= n. In this paper, we give a complete classification of p-groups H of odd order with d(H) = 2 and c(H) = 2. Based on the classification of H, minimal non-P-2 p-groups G are classified for p > 3. If p > 3, then we have G(3) congruent to C-p or G(3) congruent to C-p x C-p. In this paper, we deal with the case when G(3) congruent to C-p. In another paper [A classification of finite p-groups whose proper subgroups are of class <= 2 (II), accepted] we deal with the case when G3 congruent to Cp x C-p.
- 出版日期2013-5
- 单位厦门大学
