Finite P-Groups All Of Whose Minimal Non-Abelian Subgroups Are Of Order P~3

Posted on:2017-08-10

Degree:Master

Type:Thesis

Country:China

Candidate:L Cui

Full Text:PDF

GTID:2310330482497794

Subject:Mathematics

Abstract/Summary:

In this paper, we study the p-groups G whose minimal non-abelian subgroups are of order p3. Some property of G are described. In partic-ular, if p = 3; then an equivalent condition of G is given. In addition, if the exponent of each minimal non-abelian subgroup of G is p. then the structure of G is determined.

Keywords/Search Tags:

minimal non-abelian subgroups, abelian maximal sub- groups, p-group of maximal class

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