The Order Of Automorphism Group Of The Group Of Order Pï½ž6 (Ï†₁₄,Ï†₁₅,Ï†₂₂)

Posted on:2005-09-02

Degree:Master

Type:Thesis

Country:China

Candidate:Y B Li

Full Text:PDF

GTID:2120360122998427

Subject:Basic mathematics

Abstract/Summary:

Rodney James has given a complete classification of all the groups of order p6 in [1], there are forty-three families from Ï†1 to Ï†43. The calculation of the order of automorphism group of families from Ï†1 to Ï†11 has been finished, this paper produces the order of automorphism group of family Ï†14,Ï†15,Ï†22, by analyzing the character of the defining relations of p-group and automorphism and using the method of solving equations of conqruence. Here p denotes an odd prime.

Keywords/Search Tags:

finite group, p-group, automorphism group

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The Order Of Automorphism Group Of The Group Of Order Pï½ž6 (Ï†14,Ï†15,Ï†22)

The Order Of Automorphism Group Of The Group Of Order Pï½ž6 (Ï†₁₄,Ï†₁₅,Ï†₂₂)