The Lower Bound Of The Number Of Minimal Non-abelian Subgroups In Finite P-groups

Posted on:2018-08-31

Degree:Master

Type:Thesis

Country:China

Candidate:L Yang

Full Text:PDF

GTID:2310330518992253

Subject:Basic mathematics

Abstract/Summary:

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Assume G is a finite nonabelian p-group.G is called minimal nonabelian(or an A1-group)if all of whose proper subgroups are abelian.In this paper,it is given that the lower bound of the number of minimal non-abelian subgroups of index pk of a finite nonabelian p-group.In particular,the exact lower bound is obtained for k ?2.

Keywords/Search Tags:

finite p-groups, A1-groups, cyclic extension

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