The Classification Of Τ_3,4-groups

Posted on:2017-05-08

Degree:Master

Type:Thesis

Country:China

Candidate:J H Hao

Full Text:PDF

GTID:2310330485950133

Subject:Mathematics

Abstract/Summary:

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A finite p-group G is said to be Τ3.4-group if any two noncommutative elements of G generate a minimal non-abelian group of order no more than p4, and the order of these minimal non-abelian subgroups is not all p3. In this paper, the properties of the Τ3.4-groups are studied, and in the case of p> 2,Τ3.4-groups are completely classified.

Keywords/Search Tags:

minimal non-abelian p-groups, subgroups generated by two noncommutative elements, Τ3,4-groups

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The Classification Of Τ3,4-groups

The Classification Of Τ_3,4-groups