Finite Non-elementary-abelian 2-group Whose Number Of Subgroups Is Maximal

Posted on:2016-06-21

Degree:Master

Type:Thesis

Country:China

Candidate:Y Y Yao

Full Text:PDF

GTID:2180330482450119

Subject:Mathematics

Abstract/Summary:

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In this paper, we proved the D8×C2k is the 2-group whose number of subgroups is maximal except for elementary abelian 2-groups, where D8 is a dihedral group of order 8, and C2k is an elementary abelian group of order 2k.

Keywords/Search Tags:

The number of subgroups, Finite extraspecial p-group, Finite 2-groups, Elementary abelian 2-groups

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