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Orders of Automorphism Groups of the p~6 Groups of Family Φ_(24)

Qiu Li-qiong

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Abstract

Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Φ24, which are the groups of order p6 determined by Rodney James, where p denotes an odd prime.

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What this paper is about

Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Φ24, which are the groups of order p6 determined by Rodney James, where p denotes an odd prime.

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Available abstract

Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Φ24, which are the groups of order p6 determined by Rodney James, where p denotes an odd prime.

Key concepts: Automorphism, Mathematics, Prime (order theory), Congruence (geometry), Combinatorics, Inner automorphism, Property (philosophy), Automorphism group

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