Journal of Shanghai University(Natural Science Edition) ›› 2012, Vol. 18 ›› Issue (1): 35-39.doi: 10.3969/j.issn.1007-2861.2012.01.007

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Two Conjugacy Classes of All Non-abelian Subgroups of Finite Group

ZHOU Zhi-hao,GUO Xiu-yun   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2010-09-17 Online:2012-02-29 Published:2012-02-29

Abstract: In this paper, we discuss the solvability of the finite groups all of whose conjugacy classes of non-abelian subgroups are no more than 3. And thus we study the non-p-groups whose conjugacy classes of non-abelian subgroups are equal to 2. This kind of groups is completely classified.

Key words: q-fundamental group, action on groups, inner abelian group

CLC Number: