2006•Advances in MathematicsRequires access

The Orders of the Automorphism Groups of Some p-groups

Ban Gui-ning

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Abstract

The purpose of this paper is to solve the orders of automorphism groups of the groups of order p to six from the first family to the tenth family in Rodney James' paper and to make a few corrections in his paper. Here, the concept of family is base on P.Hall's isoclinism.

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What this paper is about

The purpose of this paper is to solve the orders of automorphism groups of the groups of order p to six from the first family to the tenth family in Rodney James' paper and to make a few corrections in his paper. Here, the concept of family is base on P.Hall's isoclinism.

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Available abstract

The purpose of this paper is to solve the orders of automorphism groups of the groups of order p to six from the first family to the tenth family in Rodney James' paper and to make a few corrections in his paper. Here, the concept of family is base on P.Hall's isoclinism.

Key concepts: Mathematics, Automorphism, Order (exchange), Inner automorphism, p-group, Automorphism group, Combinatorics, Group of Lie type

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