A Note on the p-Deficiency Class of a Finite Group

作者：Li Tianze^*; Xu Weigang; Zhang Jiping

来源：Algebra Colloquium, 2012, 19(2): 353-358.

• p-deficiency class
• characteristic p type
• p-rank
• p-length

In this note, we explore the relationship between finite groups of characteristic p type and those of p-deficiency class 1. We study the structure of finite groups of characteristic p type. Besides, we show that the p-rank (resp., p-length) of a p-solvable group which is of exact p-deficiency class r (> 0) is bounded by r (resp., a function of r).

• 出版日期2012-6
• 单位常熟理工学院; 北京大学