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Journal of Shanghai University >

2012 , Vol. 18 >Issue 1: 35 - 39

DOI: https://doi.org/10.3969/j.issn.1007-2861.2012.01.007

Mathematics.Physics and Chemistry

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

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2010-09-17

  Online published: 2012-02-29

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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

Cite this article

ZHOU Zhi-hao,GUO Xiu-yun . Two Conjugacy Classes of All Non-abelian Subgroups of Finite Group[J]. Journal of Shanghai University, 2012 , 18(1) : 35 -39 . DOI: 10.3969/j.issn.1007-2861.2012.01.007

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