A Classification Of Some I_k-groups

Posted on:2018-05-27

Degree:Master

Type:Thesis

Country:China

Candidate:L L Li

Full Text:PDF

GTID:2310330518492323

Subject:Basic mathematics

Abstract/Summary:

Assume G is a finite p-group.G is called Ik-group if all subgroups of order pk are isomorphic.In this paper,the following Ik-groups are classified:(I)Ik-groups whose subgroups of order pk are metacyclic;(2)Ik-groups whose subgroups of order pk are minimal nonabelian;and(3)I4-groups.

Keywords/Search Tags:

finite p-groups, metacyclic p-groups, minimal nonabelian p-groups

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